Question

How do you write the equation in point slope form given (-3,4) (-1,-2)?

Answer 1

`y=-3x-5`

Explanation:

Given -

`x_1=-3`
`y_1=4`
`x_2=-1`
`y_2=-2`

Formula for equation -

`(y-y_1)=(y_2-y_1)/(x_2-x_1) (x-x_1)`
`y-4)=((-2)-4)/((-1)-(-3)) (x-(-3)`
`(y-4)=(-2-4)/(-1+3)(x+3)`
`y-4=(-6)/2(x+3)`
`y-4=-3(x+3)`
`y-4=-3x-9`
`y=-3x-9+4`
`y=-3x-5`