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 =-1/2(x+6)
y - 4 = 2(x + 6)
y+6=-1/2(x-4)
y+ 6 = 2(x-4)

Answer 1

y - 4 = -1/2(x+6).

Explanation:

The equation of the line is: y - y0 = m(x-x0)

If the line passes through the points (x1, y1)=(-6, 4) and (x1, y1)=(2, 0). Then, the slope is:

`m = (y1-y0)/(x1-x0) = (0-4)/(2-(-6)) = -(1)/(2)`

Then, the equation is: y - 4 = -1/2(x+6).