Answer
point-slope form: $y-3=-1(x+10)$ or $y+5=-(x+2)$
slope-intercept form, $y=-x-7$
Work Step by Step
Step 1. As the line passes $(-10,3)$ and $(-2,-5)$, we can calculate its slope as $m=\frac{3+5}{-10+2}=-1$
Step 2. Write the equation in point-slope form as $y-3=-1(x+10)$ or $y+5=-(x+2)$
Step 3. To obtain the slope-intercept form, starting from one of the equations above, we have $y=-x-7$
