Question

Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0).

y − 4 = −one half(x + 6)

y − 4 = 2(x + 6)

y + 6 = −one half(x − 4)

y + 6 = 2(x − 4)

Answer 1

find the slope
m=y2-y1/x2-x1
y2=0
y1=4
x2=2
x1=-6

then substitute into this eqn
y-y1=m(x-x1)

m is slope, choose either point for the eqn

Answer 2

slope is
m=(0-4)/(2-(-6)=-4/8=-1/2
so the point slope form is
y − 4 = −1/2(x + 6)