Question

choose the equation below that represents the line passing through the point (2, −4) with a slope of one half. a. y = 1/2x 5 b. y = 1/2x − 3 c. y = 1/2x − 5 d. y = 1/2x 3

Answer 1

The point-slope form: $y-y_0=m(x-x_0)$

$m=\dfrac{1}{2};\ (2;-4)\to x_0=2;\ y_0=-4$

subtitute

$y-(-4)=\dfrac{1}{2}(x-2)\\\\\boxed{y+4=\frac{1}{2}(x-2)}$