Question

Which equation represents the line that passes through ( -8, 11) and ( 4, 7/2)?

Answer 1

$m= \frac{y2-y1}{x2-x1}$
$m= \frac{7/2-11}{4-(-8)}$
$m= \frac{-7.5}{12} = \frac{-5}{8}$
Now point slope form:
$y-y1=m(x-x1)$
$y-11= \frac{-5}{8}[x-(-8)]$
$y-11= \frac{-5}{8}x-5$
$y= \frac{-5}{8}x +6$ is your final equation