Question

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

Answer 1

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

Answer 2

@FireKat97

Answer 3

This is the last one
slope is 7

Answer 4

Yupp

Answer 5

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

Answer 6

its 7

Answer 7

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

Answer 8

yup, thats correct, now reapply the equation from earlier

Answer 9

now use this

Answer 10

i dont know how to get the intercept

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

I dont know what b is though

Answer 15

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

Answer 16

4+3=7(2-1)

Answer 17

Thats what i got what i plugges it in

Answer 18

plugged*

Answer 19

i just get 7=7

Answer 20

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

Answer 21

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

Answer 22

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

Answer 23

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

Answer 24

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

Answer 25

whoops haha

Answer 26

hahaha dw all good :)

Answer 27

now what

Answer 28

haha good!

Answer 29

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

Answer 30

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

Answer 31

Its A

Answer 32

yup :D

Answer 33

Thank you!

Answer 34

no problem :)