Question

How do you write an equation in slope intercept form given (2,-3) & (-6,-7)?

Answer 1

`y=(x/2)-4`

Explanation:

Given two points are (2,-3) & (-6,-7)
Equation of the line is written in the form,
`(y-y1)/(y2-y1)=(x-x1)/(x2-x1)`
`(y+3)/(-7+3)=(x-2)/(-6-2)`
`-8(y+3)=-4(x-2)`
`2y+6=x-2`
`2y=x-8`
`y=(x/2)-4`
Where `m=(1/2)` and intercept `=-4`