Question

Help, please?

Which equation is a point-slope form equation for line AB


A. y−6=−2(x+2)

B. y−2=2(x+2)

C. y−2=−2(x+2)

D. y−2=−2(x+6)

Answer 1

y-6=-2(x+2)

Explanation:

Point slope formula is:

`y-y_(1)=m(x-x_(1))`

Point A has the coordinates (-2,6) and Point B has coordinates (2,-2).

First we must find the slope (m).

`m=\frac{y_(2)-y{1}}{x_(2)-x_(1)} \\m=(-2-6)/(2-(-2)) \\m=(-8)/(4) \\m=-2`

Therefore we can choose point A or point B to make an equation:

By using Point A (-2,6) we get:

y-6=-2(x-(-2))

y-6=-2(x+2)