The equation of the line is y = 1/2x - 3/2.
In order to find this, we first need to find the slope of the equation. The equation for slope is written below.
m (slope) = (y2 - y1)/(x2 - x1)
Given this equation (x1, y1) and (x2, y2) are your points. Knowing this, we can plug in and find the slope.
m = (-2 - -3)/(-5 - -3)
m = (-2 + 3)/(-5 + 3)
m = -1/-2
m = 1/2
Now we can use the slope and either point in slope intercept form to find the answer.
y = mx + b
-3 = -3(1/2) + b
-3 = -3/2 + b
-3/2 = b
This gives us the final equation of y = 1/2x - 3/2
