What is the equation of the line that passes through (1, 2) and (8,9) in slope-intercept form?

Answers

Answer 1

Answer:

The equation of line that passes through (1, 2) and (8,9) in slope-intercept form is: [tex]y = x+1[/tex]

Step-by-step explanation:

The slope-intercept form of line is given by the formula:

[tex]y = mx+b[/tex]

Here m is the slope and b is the y intercept

Given

[tex](x_1,y_1) = (1,2)\\(x_2,y_2) = (8,9)[/tex]

First of all, the slope has to be found

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{9-2}{8-1}\\m = 1[/tex]

Putting m=1 in the equation

[tex]y = x+b[/tex]

Putting the point (1,2) in the equation to find the value of b

[tex]2 = 1+b\\b = 2-1\\b = 1[/tex]

The equation is:

[tex]y = x+1[/tex]

Hence,

The equation of line that passes through (1, 2) and (8,9) in slope-intercept form is: [tex]y = x+1[/tex]


Related Questions

Express as a trinomial.
(2 – 4)(2x + 3)

Answers

Answer:

-2(2x+3)

Step-by-step explanation:

Answer:

-2 (2x + 3)

Step-by-step explanation:

We need to use FOIL

Multiply the FIRST terms of each set together

Then the OUTSIDE terms

Then the INSIDE terms

and then the LAST terms

Thus:

[tex]2*2x = 4x[/tex]

[tex]2*3 = 6[/tex]

[tex]-4*3 = -12[/tex]

[tex]-4*2x = -8x[/tex]

So finally we end up with 4x + 6 - 12 - 8x

Simplifying this gives us -4x - 6

We can then factor out -2 from each factor, giving: -2(2x+3)

Hope this helps!

Help with this question plzz

Answers

Answer:

I think it is 4 white and 3 blue

Step-by-step explanation:

Because they have 3 cups of white then 6 cups of white so i think they multiplied it. Then they have 4 cups of blue then 8 cups of blue. So if you multiply it, it will give you the answer. I hope this is right and it helped and can you mark me brainliest!!!!!!!!

A circle has a radius of 4 feet. What is the radius of a bigger circle if the scale factor of the smaller to bigger is 4:9

Answers

Answer:

9 feets

Step-by-step explanation:

From the question, we have our scale factor as:

4:9 = 4/9

Smaller circle /Bigger circle = 4/9

A circle has a radius of 4 feet. What is the radius of a bigger circle?

Let the radius of the bigger circle = x

This is calculated as:

4/9 = 4/x

Cross Multiply

4x = 9 × 4

x = 36/4

x = 9 feet

Therefore, the radius of the bigger circle is 9 feet

What’s 25 dived by 9 in long (step by step)

Answers

Answer:

Step 1:

Start by setting it up with the divisor 9 on the left side and the dividend 25 on the right side like this:

           

   9 ⟌ 2 5  

Step 2:

The divisor (9) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

   9 ⟌ 2 5  

Step 3:

Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.

       0    

   9 ⟌ 2 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

   9 ⟌ 2 5  

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   9 ⟌ 2 5  

     - 0    

       2 5  

Step 6:

The divisor (9) goes into the bottom number (25), 2 time(s). Therefore, put 2 on top:

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

Step 7:

Multiply the divisor by the result in the previous step (9 x 2 = 18) and write that answer at the bottom:

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

      1 8  

Step 8:

Subtract the result in the previous step from the number written above it. (25 - 18 = 7) and write the answer at the bottom.

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

     - 1 8  

         7  

Step-by-step explanation:

Jack is looking to purchase a new video game. He finds a 25% off coupon for a store that sells the video game he wants. If the original price of the video game is $65, how much will Jack pay after the discount?(do not worry about sales tax)
PLEASE HELP ME!!!

Answers

Answer:

16.25

Step-by-step explanation:

Answer:

48.75

Step-by-step explanation:

Emily and Mike are sister and brother. Emily has twice as many brothers as sisters, and Mike has as many brothers as sisters. How many girls and boys are there in this family?

Answers

Step-by-step explanation:

3x is answer because emily = 2X , mike = x

X + 2x

= 3x

You make a salary of $500 a week and earn
5% commission on all products you sell. If
your total sales were $3000 for this week,
what is your total pay for the week?

Answers

$650. you get the 500 no matter what so x+500 we have to find 5% of 3000. $150 so, 500+150 is $650

Help!!!! ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

p=15

Step-by-step explanation:

24/8=3

3x5=15

Answer:

bratdth = 8 m

perimeter = 12 m

we know

perimeter of rectangle = 2(l+b)

24=2(l+8)

24=2l+16

24-16=2l

8=2l

8/2=l

l=4m

for second picture

breadth = 5m

length =4 m

p =?

we know

p= 2(l+b)

p=2(4+5)

p=2×9

p=18m

At the craft store, Kenji bought a bag of brown and blue marbles. The bag contained 60 marbles, and 40% of them were brown. How many brown marbles did Kenji receive?​

Answers

Well 40% of 60 would be the same as 0.4 x 60 and that gives you 24, so there are 24 brown marbles.

which one please help y’all

Answers

I am pretty sure it’s numerators

Answer:

Numerator :)

Step-by-step explanation:

Helpppppppppo meeeee plsssss

Answers

Answer:

Step-by-step explanation:

[tex]38.7=[/tex] [tex]38.7 / 10^{2}[/tex]

[tex]38.7= 38.7 times 10^{3}[/tex]

[tex]38.7=38.7 times 10^{4}[/tex]

Hope this helps :)

Tina drew a rectangle with vertices located at (–3, –4), (–3, 7), (12, –4), and (12, 7). What is the length of each of the longer sides of the rectangle?

Answers

Answer:

c

Step-by-step explanation:

it just is

Answer:

C

Step-by-step explanation:

It just is

There was a population of 160 eagles in a National Park. After a year, the population increased by 20%.

How many eagles are there in the park now?

Answers

Answer:

192

Step-by-step explanation:

160/10=16*12= 192

Answer:

193 eagles

Step-by-step explanation:

160 x 20% (or .20) = 32

old population # + increase of population = total population #

160 + 32 = 192

Error Analysis A student incorrectly simplified the
expression below as shown in the image

Answers

Answer:

Put the a with the b

Step-by-step explanation:

Find the area of the rhombus.

Answers

Answer:

Area = 90

Equation:

See attached image for equation.

Need help with Geometry proof--thank u

Answers

Step-by-step explanation:

QR is parallel to TU | Given

S is the midpoint of QT | Given

QS = ST | Definition of midpoint

<QSR = <TSU | definition of vertical angles

<QRS = <STU | Definition of Alternate Interior Angles

QSR = TSU | ASA

Pretty sure that's right :D

Also, wherever it says "=", I mean congruency symbol

Help me plzzzzzzz!!!!!!ASAP!!!!!!!

Answers

The third one!! 8!!!!!!

Ben is paid £15 per hour. If he works for more than 7 hours in a day, he is paid overtime for the additional hours at a rate of 1.5 times his normal rate of pay. Yesterday, Ben worked for 10 hours. How much money did he earn?

Answers

Answer:

£172.50

Step-by-step explanation:

Sorry if it's wrong I'm not exactly a maths genius but: 7x15=£105+15x1.5x3=£172.50

teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle School. Of these teachers, 8 female teachers and 4 male 8

A.20%
B.12%
C.60%
D.72%​

Answers

20 o/o fndjdndbbbbbndndn

What are two partial products you would add to find 31x507​?

Answers

Answer:

Hsusijsjsbzbskskhshsjsjx


Franklin uses the distributive property to write an expression equivalent to 18 + 36. Which of the following best represents Franklin's expression?
18(1+ 4)
18(2 +2)
6(2+6)

Answers

Answer: 9(2+4)

Step-by-step explanation:

18 + 36 = 54

18(1+4) = 90

18(2+2) = 72

9(2 + 4) = 54

6(2+6) = 48

The best representation of the expression 18 + 36 after using distributive property is 18(1 + 2).

What is distributive property?

Distributive property explains to us how to solve expressions in the form of a(b + c).

After apply distributive property this term convert as ab+ac.

The given expression is,

18 + 36

To represent the given expression using distributive property,

take out common factor from the expression,

18 (1 + 2)

The required expression is 18(1 + 2).

To know more about Distributive property on:

https://brainly.com/question/5637942

#SPJ2

√100
A 8
B 10
C 20
D 9

Answers

Answer:B = 10

Hope these helps u

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

100 is a square number of 10.

which set or sets does the number 5.6 belong?

im givng 29 points .-.

Answers

Step-by-step explanation:

Integers only

b

Rational numbers only

c

Integers and Rational numbers only

d

Whole numbers, Integers, and Rational numbers

marys age is 2 upon 3 that of peters age. two years ago marys age was 1 upon 2 of whats peters age will be in 5years time. how old is peter now plzz

Answers

Answer:

the Peter age be 27

Step-by-step explanation:

Let assume peter be

And, then mary is 2p ÷ 3

So

The equation would be  

2p ÷ 3  - 2 = 1 ÷ 2 (p + 5)

4p - 12 = 3p + 15

p = 27

So Peter age be 27

And, the mary age is

= 2 (27) ÷ 3

= 18

Hence, the Peter age be 27

16 is 32% of ______?

Answers

Answer:

50

Step-by-step explanation:

16 = 32% of x

16 = 0.32x

0.32x = 16

x = 16/0.32

x = 50

Answer: 50

Answer:

50

Hope this helps!!!!!!!!!!!!!

Alice has total of 12 dimes and nickels she has 2 more nickels than dimes .which equation represents the given problem situation

Answers

12+2 to find the amount of nickels, (12•.10) + (14•.05) to find the amount of money Alice has.

Answer

A i think

Good luck have an amazing day

ten less than a number is at least -8. Solve the inequality.

Answers

Answer:

[tex]x - 10 \geqslant - 8 \\ x \geqslant 2 \\ [/tex]

(**10 POINTS**)
Create two expressions, 1 in the form a (b+c) and a (b - c), that equal 100.

Answers

Answer:

2(25+25) for the first one, sry if that deosnt work.

Step-by-step explanation:


Write the inequality and SOLVE
4 times a number increaded by 14 is at most 30

Answers

The answer would be 4 x 4 = 16+14= 30

The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x.

Which of the following are the dependent quantities?
a
1, 2, 3, 4, 5, 25, 50, 75, 100, 125
b
1, 2, 3, 4, 5
c
25, 50, 75, 100, 125
d
25, 1, 50, 2, 75, 3, 100, 4, 125, 5

Answers

Answer:

C is the answer

they're dependent because they're the y-values. the y-values in this graph are dependent on the x-values. how many points you earn in total, is dependent on how many balloons are popped.

Step-by-step explanation:

I hope this helps :))

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