Question

What is the slope-intercept form of the line passing through `(-6, 8)` and `(-1, 7)`?

Answer 1

Slope-intercept form `y=mx+b` is
`y=-x/5+34/5`

Explanation:

Start from the given. Let `P_2(-6, 8)` and `P_1(-1, 7)`

from the given , use the two-point form first
`y-y_1=((y_2-y_1)/(x_2-x_1))*(x-x_1)`

after which , transform the equation to `y=mx+b` slope-intercept form

`y-7=((8-7)/(-6--1))*(x--1)`

`y-7=(1)/(-5)*(x+1)`

`-5(y-7)=-5(1/-5)*(x+1)`

`-5(y-7)=cancel(-5)(1/cancel(-5))*(x+1)`

`-5(y-7)=1*(x+1)`

`-5y+35=x+1`

`-5y=x+1-35`

`-5y=x-34`

`(-5y)/-5=(x-34)/-5`

`(cancel(-5)y)/cancel(-5)=(x-34)/-5`

`y=-x/5+34/5`

have a nice day from the Philippines.