A line passes through the points (0, 6) and (–9, 9). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer 1

Answer:

[tex]y = -\frac{1}{3} x + 6[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y = mx + b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

The formula to find the slope of a line is [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].

1) Plug the coordinates into this [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].

[tex]m = \frac{9 -6 }{-9 - 0 }[/tex]

2) Solve it. Simplify it if possible.

[tex]m = \frac{3 }{-9}[/tex]

Simplified: [tex]m = \frac{1 }{-3 }[/tex]

3) Plug the result into [tex]y = mx + b[/tex].

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

4) Plug one of the points ([tex]x_{1}, y_{1}[/tex] or [tex]x_{2}, y_{2}[/tex]) into [tex]y = \frac{1}{-3} x + b[/tex] to find [tex]b[/tex].

[tex]6 = \frac{1}{-3}(0) + b[/tex]

[tex]6 = 0 + b[/tex]

[tex]6 - 0 = b[/tex]

[tex]6 = b[/tex]

5) Plug the result of [tex]b[/tex] into [tex]y = \frac{1}{-3} x + b[/tex].

[tex]y = \frac{1}{-3} x + 6[/tex]

The negative situated in the denominator can be genaralised to the fraction.

Therefore, [tex]y = -\frac{1}{3} x + 6[/tex].


Related Questions

find ingrammes 1/5 of 2 kg + 60 g​

Answers

Answer

i dont know i jus want the points

Step-by-step explanation:

Solve for the value of k.
(k+1)°
42°

Answers

Well first you subtract 90 and 47 since you see that little square it mean 90 degrees so therefore. you would get 43 for your answer Then you do

k+1=43
-1 -1
————
k= 42


Hope this helped !!!

If John had four pizzas and shared them equally to his three friends, how many slices will he have?

Answers

Answer:

Is this really college math?

He would have 8 slices of pizza

Step-by-step explanation:

8 * 4 = 32

32 / 4 = 8...

to find:

the number of slices John would have after distributing it among his friends.

solution

8×4=32

32/4

= 8

John would have 8 slices of pizza.

A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that: He plans to drive 100 miles. He has at most $70 to spend. Which inequality can be used to determine xx, the maximum number of days Hudson can afford to rent for while staying within his budget?

Answers

Answer:

1.97 day; 1 day.

Step-by-step explanation:

0.07*100 = 7

31.91x - 7 = 70

70 - 7 = 63

31.91x = 63

63 / 31.91 = 1.97

How do you write 0.92 as a percentage?

Answers

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.
0.92 ×
100
100
= (0.92 × 100) ×
1
100
=
92
100
Write in percentage notation: 92%
92%. Is how you write this

solve the system of equations:
-3x + 7y = -15
3x + 5y = 15

what do X and Y equal?

Answers

Answer:

x=5

y=0

Step-by-step explanation:

Let's solve the system of equations through elimination

Solving by elimination is when you add or subtract one equation by the other to eliminate one variable

In this case, adding 3x and -3x would cancel each other out so we should add the equations

[tex]-3x + 7y = -15\\+(3x + 5y = 15)\\0+12y=0\\12y=0[/tex]

Now solve for y

Divide both sides by 12 to isolate y

[tex]12y=0\\\\\frac{12y}{12} =\frac{0}{12} \\\\y=0[/tex]

Now sub in the value of y into one of the original equations and solve for x

[tex]3x+5y=15\\3x+5(0)=15\\3x=15\\[/tex]

Divide both sides by 3 to isolate x

[tex]\frac{3x}{3} =\frac{15}{3} \\x=5[/tex]

solve for x ~
[tex]x {}^{2} - 4x = 0[/tex]


thankyou ~​

Answers

Answer:

[tex]x = 0 \\ x = 4[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 4x = 0 \\ x(x - 4) = 0 \\ \\ x = 0 \\ \\ x - 4 = 0 \: - > x = 4[/tex]

okay okay what is emoji aaaaa​

Answers

okay okay what is emoji aaaaa

Help picture below problem 14

Answers

Answer:

value of missing angle is..57°

Step-by-step explanation:

mark me brainliest

given:

54° and 69°

to find:

the missing angle of the triangle.

solution:

let's consider the missing angle as n.

sum of interior angle of triangle= 180°

n+54°+69°= 180° (adding up to sum of interior angle of triangle)

n+123°= 180°

n= 180°-123°

n= 57°

Here help my sis needs help

Answers

Let's complete

(2,8)(3,12)(4,16)

Rule following=4n

(5,20)(6,24)

#2

The rule is 4n

#3

Let's see

4n=48n=12yd

A composite figure is shown. What is the volume for the composite figure

Answers

The volume of the composite fiqure as shown in the diagram above is 300 cm³.

What is a composite fiqure?

A composite fiqure is a fiqure that can be divided into mor than one of the basic shapes.

Note: The composite fiqure is made up of two different cubiods

To calculate the volume of the composite fiqure, we use the formula below.

Formula:

V = lbH+Lbh........... Equation 1

Where:

V = Volume of the composite fiqure

Given:

l = 4 cmb = 5 cmH = 9 cmL = 6 cmb = 5 cmh = 4 cm

Subsitute these values into equation 1

V = (4×9×5)+(6×5×4)V = 180+120V = 300 cm³

Hence, The volume of the composite fiqure as shown in the diagram above is 300 cm³.

Learn more about composite volume here: https://brainly.com/question/15981553

answer quick i’ll give brainliest!! if you send links i’ll report u!

Answers

Answer:

[tex]\fbox{ Option D ➫ \: 416 \: cm²}[/tex]

Step by step explanation:

Given:

height of prism h = 18 cm

length of base of triangle b = 10cm

height of triangle h' = 2 cm

side A of triangle = 5 cm

side B of triangle = 7 cm

To find:

Surface area of prism = ?

Solution:

[tex]Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{10} \times \not{2} \\ Area \: of \: base \: triangle = 10 \: {cm}^{2} [/tex]

[tex] \fbox{Area \: of \: base \: triangle \: (B) = 10 \: cm²}[/tex]

[tex]Perimeter \: of \: base \: triangle = Side A + Side B + base b \\ Perimeter \: of \: base \: triangle = 5 + 7 + 10 \: cm \\ Perimeter \: of \: base \: triangle = 22 \: cm[/tex]

[tex] \fbox{Perimeter \: of \: base \: triangle (p) \: = 22 \: cm}[/tex]

[tex]Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 10+ \: 22 \times 18 \\ Surface \: area \: of \: prism = 20 + 396\\ Surface \: area \: of \: prism = 416 \: {cm}^{2} [/tex]

[tex]\fbox{Surface \: area \: of \: prism = 416 \: cm²}[/tex]

Thanks for joining brainly community!

Answer:

D. 416 cm²

Step-by-step explanation:

Let S be the surface area of the prism

     B be the area of the base of the prism

     A be the lateral area of the prism

_______

formula :

S = 2B + A

__________

The base is a triangle ,then B the area of the base :

[tex]B=\frac{10 \times 2}{2}=10 \mathrm{~cm}^{2}[/tex]

_______

formula :

A = (Perimeter of the base) × (the height of the prism)

__________

then ,

[tex]\begin{aligned}A &=(10+5+7) \times 18 \\&=22 \times 18 \\&=396cm^2\end{aligned}[/tex]

Conclusion:

[tex]\begin{aligned}S &=2 B+A \\&=2 \times(10)+396 \\&=20+396 \\&=416 \mathrm{~cm}^{2}\end{aligned}[/tex]

The length of the longer leg of a right triangle is 13 m more than three times the length of the shorter leg. The length of the hypotenuse is 14 m more than three times the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: 0 m Length of the longer leg: in Length of the hypotenuse:​

Answers

Answer:17

Step-by-step explanation:

Sal is making bracelets for a fundraiser. He uses 6 inches of yarn per bracelet. how many bracelets can Sal make?

Answers

Answer:

He should consider using an exuberant amount of yarn to raise money for charity. How much yarn is available?

anyone help pls??
Find the perimeter and the area of the regular polygon with the given apothem a and side length s.

Answers

Step-by-step explanation:

apothem : distance from the center of the object to the side(s).

area : 1/2 × perimeter × apothem

perimeter : 9 x side

perimeter = 9×15 in = 135 in

area = 1/2 × 135 × 20.6 = 1,390.5 in²

The perimeter and area of a nonagon with apothem of 20.6 inches and side of 15 inches are 135 inches and 1390.5 inches² respectively.

What is a nonagon?

A nonagon is a polygon with 9 sides. The perimeter and area can be found as follows;

Perimeter = length of the whole sides

side length = 15 inches

P = 9 × 15

p = 135 inches

Area of a nonagon = 1 / 2 pa

where

a = apothemp = perimeter

Therefore,

apothem = a = 20.6 inches

area of the nonagon = 1 / 2 × 135 ×  20.6

area of the nonagon = 2781 / 2

area of the nonagon = 1390.5 inches²

learn more on nonagon here: https://brainly.com/question/16228968?referrer=searchResults

write an equation of the line in slope-intercept form: A(-1,3) and b(2,-1)

Answers

Answer: y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

    First we will find the slope, then we will find the y-intercept.

    Slope is change in y over change in x:

[tex]\frac{-1-3}{2--1}=\frac{-4}{3}[/tex]

    Now we will solve for the y-intercept:

y = [tex]\frac{-4}{3}[/tex]x + b

(-1) = [tex]\frac{-4}{3}[/tex](2) + b

-1 = [tex]\frac{-8}{3}[/tex] + b

[tex]\frac{5}{3}[/tex] = b

b = [tex]\frac{5}{3}[/tex]

    Final equation:

y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]

What is the equation of the line that passes through the point (3, 5) and has a slope
of -1/3

Answers

Answer:

[tex]Y=-\frac{1}{3} + 6[/tex]

Hope This Helps! :) Please Mark Brainliest!

Please help I'll mark brainliest ​

Answers

Answer:

The final answer is 16.

Gd luck with your work! :)

Answer:

Step-by-step explanation:

+3=17
x
+
3
y
=
17

−+2=8

x
+
2
y
=
8



Step 1: Find the LCM to eliminate the x.

Step 2: Write the new equation.

Step 3: Divide to solve for y.

Answers

Answer:

1

Step-by-step explanation:

What is 35 - 2 ????? I am very confused and need help. I’m in college pls.

Answers

Answer:

33

Step-by-step explanation:

35 take away 1 is 34 take away one more its 33

The answer to your question is 33. If you have 35 oranges and eat 2 you end up with 33.

IM STUCK CAN SOMEBODY SOLVE THE EQUATION

Answers

Answer:

m = 4

(0, 1)

y = 4x + 1

Step-by-step explanation:

Slope using first two points (-2, 7) & (-1, -3):

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{-3+7}{-1+2} =\frac{4}{1}[/tex]

m = 4

Y-intercept, b: (0, 1)

Equation:

y = mx + b

y = 4x + 1

could anyone give me some quick help with this?

Answers

Answer:

a) 8xy = (4)(2xy)

b) 15x⁴z = (5x²)(3x²z)

c) -12x³y³ = (3y³)(-4x³)

d) 8x-2y = (2)(4x-y)

Step-by-step explanation:

a) 8xy = (4)(2xy) for the right side to equal the left 2xy needs to be multiplied by 4 to equal 8xy

b) 15x⁴z = (5x²)(3x²z) you need to multiply 5x² by 3x²z to equal 15x⁴z.

5*3 = 15 and x²*x² = x⁴ so 15x⁴*z = 15x⁴z

c) -12x³y³ = (3y³)(-4x³) becuase -4*3 = -12 and x³*y³ equal x³y³

d) 8x - 2y = (2)(4x-y) when you multiply 2 by 4x-y it equals 8x-2y

PLEASE RATE!! I hope this helps!!

If you have any questions comment below


There is a juice bar at the gym. Fiona has a gift card that has a balance of $30. Each time she
buys a bottle of her favorite juice, $3 is deducted from her card. Chester also has a gift card.
The equation y=20 - 5x represents y, the balance, in dollars, left on his card after he has
bought x of his favorite bottles of juice.
Who had a greater initial amount of money on their card, Fiona or Chester? Whose balance
decreases at a faster rate every time he or she buys his or her favorite juice? Use the space
below for your work. Explain.

Answers

Answer:

y=mx+b. slopes.

Fiona's equation is y=-3x+30. She will have no money after buying 10 of her favorite drink. She starts with $30 and loses $3 each time. She loses at a slower rate than Chester.

Chester's equation is y=-5x+20. He will have no money after buying 4 of his favorite drink. He starts with $20 and loses $5 each time. He loses at a faster rate than Fiona.

Find f(x) and g(x) such that h(x) = (fog)(x). Let g(x) = 7x + 2.

h(x) =6/square root of (7x+2)

Answers

Answer:

f(x) = 6√7

Step-by-step explanation:

f{g(x)}=h(x)

f(7x+2)=6√7x+2

let y = 7x+2

x= (y-2)/7

f(x)= 6 √7(y-2)/7+2

Thus, f(x) =6√7

(2x > 10) list some values for x that would make this inequality true

Answers

Answer:

6 , 7 , 8 , 9...

Step-by-step explanation:

2x > 10

x > 5

then

x = 6 , 7 , 8, 9...

I think that I am right and also think this will helpful to you.....

Find the missing side length

Answers

Answer:

12

Step-by-step explanation:

5^2+b^2=13^2

25+b^2=169

169-25=144

b=12

(yes, this is also a triple)

12 for sure I did that question

Please solve this for me

Answers

I think $372 will answer of the questions

Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)​

Answers

Answer:

1200 more beats in 3 seconds or

400 more beats in 1 second

Step-by-step explanation:

A Mosquito beats its wings at a rate of 600 times per second.

A honey bee beats its wings at a rate of 200 times per second.

600 - 200 = 400

The mosquito beats 400 more times per second

400 X 3 = 1200

Which expression is equivalent to 20 + 8y − 9y − 21

Answers

Answer:

-y-1

Step-by-step explanation:

I need help finding the direction please. 100 points!

Answers

Answer:   225

=======================================================

Explanation:

Take note that the x and y coordinate of this vector are the same.

This leads to a 45-45-90 reference triangle. If the vector was in the first quadrant (the northeast), then the answer would be 45 degrees.

However, we need to add on 180 so we get to the third quadrant instead where x and y are both negative. This gets us to 180+45 = 225 degrees

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

If you wanted to use a calculator, then you would compute the value of [tex]\tan^{-1}(b/a)[/tex] where <a,b> is the vector in question.

Since a = b in this case, we have b/a = 1 and the arctangent of this is 45 degrees. The adjustment of adding on 180 still applies like from before.

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