Question

Explain find k if the line passing through point p (-12,-3 ) and q ( 4,k ) as slope 1/2

Answer 1

Step-by-step explanation:

$slope \: of \: line \: = \frac{y2 - y1}{x2 - x1} \\ \frac{1}{2} = \frac{k - ( - 3)}{4 - ( - 12)} \\ \frac{1}{2} = \frac{k + 3}{4 + 12} \\ \frac{1}{2} = \frac{k + 3}{16} \\ 2k + 6 = 16 \\ 2k = 10 \\ k = 5$