# How do you find the slope given x-intercept: 5 and y-intercept: 7?

$m = - \frac{7}{5}$
Given P_1(5;0) and P_2(0;7) so we get
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{7 - 0}{0 - 5} = - \frac{7}{5}$