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

Answer:

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

Step-by-step 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:

$m = \frac{y1-y0}{x1-x0} = \frac{0-4}{2-(-6)} = -\frac{1}{2}$

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