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

Answer:

y-6=-2(x+2)

Step-by-step 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).

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

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)