Answer
$$y= x-5.$$
Work Step by Step
We find the slope first as follows
$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{5+3}{10-2}=1.$$
We know that the point-slope form of a line is given as:
$y-y_1=m(x-x_1)$, where $m$ is the slope and $(x_1,y_1)$ is the point.
We plug in the given slope and point and solve for $y$:
$$y+3=(x-2)\Longrightarrow y=x-2-3=x-5.$$
