Answer
$m=-1$
Work Step by Step
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, $m=-1$.
