## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$m=-1$
A point $(x_1, y_1)$ is on the graph of $y=mx+b$ if the x and y coordinates of the point satisfies the equation. To find the value of $m$, substitute -2 and 5 to x and y, respectively, to obtain: $y=mx+3 \\5=m(-2)+3 \\5=-2m+3 \\5-3 = -2m+3-3 \\2=-2m \\\frac{2}{-2}=\frac{-2m}{-2} \\-1=m$ Thus, $m=-1$.