Write the equation of the line that passes through (2, 4) and (1, -3) in slope-intercept form.

- anonymous

Write the equation of the line that passes through (2, 4) and (1, -3) in slope-intercept form.

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- anonymous

A. y = 7x - 10
B. y = 7x + 10
C. y = 7x + 18
D. y = 7x - 18

- anonymous

@FireKat97

- anonymous

This is the last one
slope is 7

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## More answers

- FireKat97

Yupp

- pooja195

\[\LARGE \frac{y_2-y_1}{x_2-x_1}=slope\]
Find the slope first

- anonymous

its 7

- pooja195

\[\huge y-y_1=m(x-x_1)\]
where
m=slope
(x1,y1)

- FireKat97

yup, thats correct, now reapply the equation from earlier

- pooja195

now use this

- anonymous

i dont know how to get the intercept

- FireKat97

you don't need to find the intercept, you just have to substitute any set of co-ordinates and the slope into the (y - y1) =m(x - x1) equation

- FireKat97

The y intercept form is just the name of the form which follows this format y = mx + b

- FireKat97

So thats how you have to re-arrange the equation once you sub your slope and co-ordinates in

- anonymous

I dont know what b is though

- anonymous

I dont get how to figure out if its 10 or 18

- anonymous

4+3=7(2-1)

- anonymous

Thats what i got what i plugges it in

- anonymous

plugged*

- anonymous

i just get 7=7

- FireKat97

But you only need to plug in one set of the co-ordinates, so either (2, 4) or (-1, 3) into x1 and y1

- FireKat97

Just pick the set which looks to have the "easier numbers" so smaller numbers etc

- FireKat97

But it shouldn't matter which of the co-ordinates you choose

- anonymous

okay so( x+3)=7(x-1)

- FireKat97

Yup, right hand side is correct, but with the left hand side, that should be a y, not an x

- anonymous

whoops haha

- FireKat97

hahaha dw all good :)

- anonymous

now what

- anonymous

haha good!

- FireKat97

So, now we can rearrange this equation to put it in the form of y = mx + b

- FireKat97

so we want to move everything except the y to the right hand side

- anonymous

Its A

- FireKat97

yup :D

- anonymous

Thank you!

- FireKat97

no problem :)

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