# How do you determine the slope and y intercept when given a graph?

The $y$-intercept $b$ can be found by reading the $y$-axis where the graph hits the y-axis, and the slope $m$ can be found by finding any two distinct points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ on the graph, and using the slope formula below.
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.