Find the equation of the line.

Find The Equation Of The Line.

Answers

Answer 1

Answer:

y=1/2 +1.5

Step-by-step explanation:

y intercept = 1.5

gradient = rise over run = 1/2

y = 1/2 +1.5

Answer 2

Answer:

[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] when [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the y-coordinate of the point where the line crosses the y-axis)

1) Find the slope ([tex]m[/tex])

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

We can use any two points on the line to plug into this equation, but it's often easiest to use points that have whole-number coordinates. For example, we can use the points (1,-1) and (3,0).

[tex]m=\frac{0-(-1)}{3-1}[/tex]

Two negatives make a positive

[tex]m=\frac{0+1}{3-1}\\m=\frac{1}{2}[/tex]

So far, our equation looks like this:

[tex]y=\frac{1}{2}x+b[/tex]

2) Find the y-intercept ([tex]b[/tex])

We're told to approximate the y-intercept based on what appears to be true in the graph. In the graph, we can see that the y-intercept appears to occur when y=-1.5, or when y=[tex]-\frac{3}{2}[/tex]. Therefore, [tex]b=\frac{-3}{2}[/tex].

Now, after plugging both [tex]m[/tex] and [tex]b[/tex] into our equation, our final equation looks like this:

[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]

I hope this helps!


Related Questions

PLEASE HELP I WILL PUT BRAINLIEST!!!!!!

Answers

Answer:

Area of shaded region is 18π square unit

Step-by-step explanation:

Please mark brainliest

Answer:

18π cm²

Step-by-step explanation:

The shaded region is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{80}{360}[/tex] ( r is the radius of the circle )

   = π × 9² × [tex]\frac{2}{9}[/tex]

   = 81π × [tex]\frac{2}{9}[/tex]

   = 9π × 2

   = 18π cm²

f(x)=2x^2+9

Find f(-5)

Answers

Answer:

59

Step-by-step explanation:

Given

f(x) = 2x² + 9

f ( -5) = 2 * ( -5)² + 9

= 25 * 2 + 9

= 50 + 9

= 59

════════ ∘◦❁◦∘ ════════

Answer = 59

════════════════════

Known

f(x) = 2x² + 9

════════════════════

Question

f(-5) = ?

════════════════════

Way to do

#as you the x inside the (x) changed into (-5) it means that you need to change the x into -5.

f(-5) = 2(-5)² + 9

= 2 × 25 + 9

= 50 + 9 = 59

#So f(-5) = 59

════════════════════

how many solutions does the equation have y=1/2x-7 y=6x+2

Answers

Answer:

One solution, x=-18/11.

Step-by-step explanation:

y=1/2x-7

y=6x+2

---------------

1/2x-7=6x+2

1/2x-7-6x=2

1/2x-6x=2+7

1/2x-12/2x=9

-11/2x=9

x=9/(-11/2)

x=(9/1)(-2/11)

x=-18/11

Mark reduce the size of a photo to a height of 4 inches. What is the new width if it was originally 16 inches tall and 8 inches wide?​

Answers

Answer:

Step-by-step explanation:

new height is ¼ of original height

new width = ¼×8 = 2 inches

Answer:

2 inches

Step-by-step explanation:

To find the new width, find the scale factor that was used to reduce the photo.

Since 16 divided by 4 is 4, 4 is the scale factor.

To find the new width, divide 8 by 4:

8/4

= 2

So, the new width is 2 inches

Hi! Please without looking it up I am doing my writing and speaking test for Spanish and I'm trying to figure out what is "Then" in Spanish...Mind you they use translator detectors so please don't look it up and just help me with it. This is the sentence "There are more tables in the kitchen then in my room." I literally just need to know what "Then" is in Spanish! Thank you!

Answers

Answer:

The sentance you but then would be than which would be Hay más mesas en la cocina que en mi habitación but the word then would be entonces and example sentance is entonces iré allí which is then i will go over there

and than is que, an example sentace en lugar de que yo vaya allí which is rather than me going over there

Step-by-step explanation:

Answer:

Hi Alycia! The answer to your question is Hay más mesas en la cocina que en mi habitación

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

xD


Which is the sum of the first 6 terms of the geometric series?
7+21 +63

Answers

Answer:

2,548

Step-by-step explanation:

First, we have to find out the rule. The rule is multiply the previous number by 3 to get the next number.

7x3=21

21x3=63

So, we would continue this pattern until we have the first 6 numbers which are 189, 567, and 1701.

The questions is asking for the SUM of the 6 numbers so you would add the those numbers and do this equation:

7+21+63+189+567+1701= 2548

Hope this helps! :)

Olivia does chores every Saturday morning. She spends of her time cleaning her room. Of the remaining of her time, she spends of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?

Answers

Answer:

4/7 of her total time cleaning the kitchen

Step-by-step explanation:

Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]

Let

x = her total time

Room cleaning = 1/3x

Time remaining = 2/3x

Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen.

Kitchen cleaning = 6/7 of 2/3x

= 6/7 * 2/3x

= (6*2)x/(7*3)

= 12/21x

= 4/7x

Olivia spent 4/7 of her total time cleaning the kitchen

Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is 6º more than three times the other angle. ​

Answers

Answer:

The two angles are 69° and 21°.

Step-by-step explanation:

Write out the expression:

let x and y be two angles that are complementary and the sum of their measures is 90°

-> x° + y° = 90°

if one angle is 6º more than three times the other angle:

-> x° = 6° +3y°

Plug x = 6+3y into x° + y° = 90°

6° + 3y° + y° = 90°

Solve for y

4y° = 84°

y° = 21°

Plug y into x° + y° = 90°

x° + 21° = 90°

Solve for x°

x° = 90° - 21° = 69°

TRUE or FALSE: The equation 2x + 3y = 32 is not an example of a linear equation in two variables ( I uh need this now-)

Answers

Answer:

False

Step-by-step explanation:

It is a linear equasion because it's in ax+by=c form

please help I don't get it​

Answers

Answer:

tienes que hacer cuadritos

The diameter of a circle is 14km. What is the circles circumference?

Answers

Answer:

Step-by-step explanation:

c=d[tex]\pi[/tex]

c=14x3.14

c=43.96

What is the factorization of the trinomial below?
3x3 - 18X2 + 24x

Answers

Answer:

75

Step-by-step explanation:

Answer:

3x3 - 18×2 + 24x = 75

Step-by-step explanation:

my mind is my friend

Only the smartest person in their math class can help me with this difficult problem!!!

Answers

Step-by-step explanation:

[tex] \tt{(5 {x}^{3} - 3x + 6) - (2 {x}^{2} - 4x + 8)}[/tex]

While subtracting , the sign of each term of second expression changes & remove the parentheses.

⟶ [tex] \tt{5 {x}^{3} - 3x + 6 - 2 {x}^{2} + 4x - 8}[/tex]

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⟶ [tex] \tt{5 {x}^{3} - 3x + 4x + 6 - 8 - 2 {x}}^{2} [/tex]

⟶ [tex] \tt{5 {x}^{3} + x - 2 - 2 {x}^{2} }[/tex]

In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{5 {x}^{3} - 2 {x}^{2} + x - 2}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

I'm the smartest person in my math class.

Step-by-step explanation:

While subtracting , the sign of each term of second expression changes & remove the parentheses.

⟶ 5x³-3x +6-2x²+4x-8

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⟶   5x³-3x+4x+6-8-2x²

⟶  5x³+x-2-2x²

In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.

what is the interest on RS. 1000 at 10 p.c.p.a for 1 year.​

Answers

Answer:

Interest wil be 10% of 100  which is 10

So,  interest will be Rs.10

And total amount to be payed will be 100+10 which is Rs.110

Answer:

Interest= Rs. 10

Step-by-step explanation:

Interest of Rs.100 on 10 p.c.p.a is 10% of 100

i.e., 100*10/100 = 10

Thus we have 10 as the interest

Little Scotty's favorite toy is a grizzly beat that is 6 inches tall. A full grown grizzly bear in the wild is 84 inches tall. What is the scale factor of Scotty's toy compared to a grizzly in real life?

(Don't forget to simplify)

Scale Factor = ????

Answers

9514 1404 393

Answer:

  1 : 14

Step-by-step explanation:

The scale factor model/real = (6 in)/(84 in) simplifies to 1/14.

In the diagram of circle M shown, the measure of major arc PRQ=268 . Which of the following
is the measure of angle PRQ ?

Answers

Step-by-step explanation:

The Answer is 46

The measure of Arc PRQ is 268. Another part of the arc is PQ. PRQ+PQ forms a full circle In which a circle has 360 degrees. Using that

[tex]268 + x = 360[/tex]

[tex]x = 92[/tex]

Since we are asked to the measure of PRQ and it is inscribed in arc PQ. It is half of PQ so the answer is

[tex]92 \div 2[/tex]

which is 46.

it's math please help me math lovers
[tex] \\ \\ \\ find \: product \\ \frac{18}{30} \times \frac{5}{4} \\ multiply \\ 4 \frac{1}{8} \times \frac{1}{9} \\find \: product \\ \frac{15}{18} \times \frac{6}{9} \times \frac{27}{21} \\ \\ multiply \: help \: of \: diagram \\ \frac{1}{4} of\frac{1}{2} \\ \\ mulytiply \: and \: convert \: into \: mix \: fraction \: \\ 3 \times \frac{7}{70} \\ \\ solve \\ (6 \times \frac{1}{4}) \times \frac{1}{2} \times \frac{1}{2} [/tex]

Answers

Required Answer:-

Find the product:-

[tex] \tt \dfrac{18}{30} \times \dfrac{5}{4} [/tex]

[tex] = \tt \dfrac{18 \times 5}{30 \times 4} [/tex]

[tex] = \tt \cancel\dfrac{18 \times 5}{30 \times 4} = \boxed{\tt\dfrac{ \: \: 3 \: \: }{4}} \: \: \: \: \: \: \: \: \: [/tex]

Multiply:-

[tex] \tt4 \: \dfrac{1}{8} \times \dfrac{1}{9} [/tex]

[tex] = \tt \dfrac{25}{8} \times \dfrac{1}{9} [/tex]

[tex] = \tt\dfrac{25}{8} \times \dfrac{1}{9} [/tex]

[tex] = \tt \cancel\dfrac{25 \times 1}{8 \times 9} = \cancel{ \tt\dfrac{ \: \: 25 \: \: }{72}} [/tex]

[tex] = \boxed{\tt\dfrac{ \: \: 1 \: \: }{3 }} [/tex]

Find the product:-

[tex] \tt \dfrac{15}{18} \times \dfrac{6}{9} \times \dfrac{27}{21} [/tex]

[tex] = \tt \cancel\dfrac{15 \times 6 \times 27}{18 \times 9 \times 25} [/tex]

[tex] = \boxed{\tt \dfrac{ \: \: 5 \: \: }{7}} [/tex]

Multiply:-

[tex] \tt \: 3 \: \dfrac{7}{70} [/tex]

[tex] = \tt \cancel\dfrac{3 \times 7}{1 \times 70} = \boxed{ \tt\dfrac{ \: \: 3 \: \: }{10}} [/tex]

Solve:-

[tex] \tt(6 \times \dfrac{1}{4}) \times \dfrac{1}{2} \times \dfrac{1}{2} [/tex]

[tex] = \tt \cancel{( \dfrac{3 \times 1}{1 \times 2} )} \times \dfrac{1}{2} \times \dfrac{1}{2} [/tex]

[tex] = \tt(\dfrac{3}{ \: \: 2 \: \: }) \times \dfrac{1}{2} \times \dfrac{1}{2} [/tex]

[tex] = \tt\dfrac{3}{ 2 } \times \dfrac{1}{2} \times \dfrac{1}{2} \: \: \: \: \: \: \: \: = \boxed{ \tt \dfrac{ \: \: 3 \: \: }{8}} [/tex]

If the school has 90 students, there are how many sixth graders?

Answers

Answer:

29

Step-by-step explanation:

Answer: Depends on the number of grades

Step-by-step explanation:

School has up to 6th grade: 15

School has up to 7th grade: 12

School has up to 8th grade: 11

School has up to 9th grade: 10

School has up to 10th grade: 9

Need more grades? Comment please

It costs Susan's t-shirt company $8 to make a shirt. Susan decides to sell each shirt for $30 in stores. What is the percent markup?

Answers

Answer:

15%?  i think im wrong sorry.

Step-by-step explanation:

275 students brought their lunch. Which was 25% of the students. How many students went on the trip?

Answers

Answer:

1,100

Step-by-step explanation:

Wow that's a lot of students. Anyway, 25% is one fourth of the 100%, so we multiply 275 by 4 and we get 275.

Evaluate (x + 2) + 4 when x = 12 . O A. 6 O B. 10 OC. 2 O D. 18​

Answers

Answer:

Answer: D. 18

Step-by-step explanation:

Some help ppplllsssss

Answers

Answer:

the answer is b

Step-by-step explanation:

Side Angle Side

Simplify the expression
2n - n - 4 + 7n

Answers

Answer:8n-4

Step-by-step explanation:

Answer:

n=1/2

Step-by-step explanation:

Step1: 2n-n-4+7n

Step2: 8n-4

Step3: 8n=4

Step4: n=4/8

Step5: n=1/2

Can anybody help me with this please

Answers

Jan is not correct. The opposite of any number will not always be a positive. This is because the opposite of a positive number is negative and the opposite of a negative number is positive.

Basically, opposite numbers are numbers that are the same distance to 0 on a number line. If we were to have a positive 1, the opposite of that number would be a -1, because that's equally distant from 0 on a number line.

Answer:

Search up the name of the exit ticket and then u get ur answers

Step-by-step explanation:

Question 2 (1 point)
Solve by Substitution. Find the ordered pair
7x – 2y = 1
2y = x - 1
Solution (x,y)
I need help can someone help me please????

Answers

Answer:

on the bottom equation you can subtract 1 from both sides, x = 2y+1 so you substitute that in for x on the other equation, 7(2y+1) - 2y = 1 or 14y + 7 -2y = 1 then 12y = -6 y = -1/2 which you put back into the other equation, 2(-1/2) = x -1 so -1 = x - 1 then x = 0, the answer is (0, -1/2)

on the bottom equation divide all numbers and variables by 2 to get the equation y=2x-2 then write the equation 7x-2(2x-2)=1 distribute to get 7x-4x+4=1 then combine like terms to get 3x+4=1 subtract 4 by one to get 3x=-3 then divide both sides by 3 to get x=-1
next plug in x to your y= equation to get the equation 2(-1)-2=y then solve by multiplying 2by -1 to get -2-2=y then solve and get y=4 so your points are (-1,4)

please help fast im timed

Answers

in order from top to bottom: payroll tax, corporate tax, sales tax, property tax

Find the perimeter of the triangle whose vertices are the following specified points in the plane.
(5,6), (4,1) and (-4,2)

Answers

Answer:

23 units

Step-by-step explanation:

Let the vertices of the triangle be A(5,6), B(4,1) and C(-4,2)

Perimeter of the triangle = AB + AC + BC

AB = √(5-4)²+(6-1)²

AB = √1²+5²

AB = √1+25

AB = √26

For BC where B(4,1) and C(-4,2)

BC = √(4-+4)²+(1-2)²

BC = √8²+1²

BC = √64+1

BC = √65

For AC where A(5,6) and C(-4,2)

AC = √(5+4)²+(6-2)²

AC = √9²+4²

AC = √81+16

AC = √97

Perimeter = √97 + √26 + √65

Perimeter = 9.85+5.09+8.06

Perimeter = 23

Hence the perimeter of the triangle is approx 23 units

Linda bought a new rug that cost r dollars. She use a coupon for 20% discount and sales tax of 10%. If there was a shipping fee of $50 that was applied after the discount and tax , Which of the following expressions show the total amount of money that linda paid for the rug

Answers

This is a percent proportion answer I think so you need to use the percent proportion formula and find the answer

What is the Answer?
-4x+35>2

Answers

Answer:

I don't know........................

Answer:

x < 33/4

Step-by-step explanation:

1.) -4x+35 > 2 (Move the constant to the right-hand scale side and change its sign)

-4x > 2 - 35

2.) -4x > 2 - 35 (Calculate the difference)

4x > -33

3.) -4x > -33 (Divide both sides of the inequality by -4 and flip the inequality sign)

x < 33/4

PLEASEE HELP THIS IS DUE TODAY

Answers

Answer:

The first one is 360 degrees. The second one is 1080.

Step-by-step explanation:

The sum of the interior angles of a quadrilateral are always 360. If you subtract 90 from 360 to get 270. Multiply 270 by 4 to get 1080.

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