Answer
$y=-\frac{3}{8}x+\frac{5}{8}$
Work Step by Step
$m=\frac{\frac{7}{10}-\frac{4}{10}}{-\frac{1}{5}-\frac{3}{5}}$
$m=\frac{\frac{3}{10}}{\frac{-4}{5}}$
$m=-\frac{3}{8}$
Now that we have the slope, use an ordered pair to find the y-intercept.
$y=-\frac{3}{8}x+b$
$\frac{4}{10}=-\frac{3}{8}(\frac{3}{5})+b$
$\frac{4}{10}=-\frac{9}{40}+b$
$b=\frac{25}{40}$
$b=\frac{5}{8}$
$y=-\frac{3}{8}x+\frac{5}{8}$