Hello there! We can start by finding the slope using the following formula:
y2 - y1 over x2 - x1
-3 - (-5) = 2
5 - 3 = 2
Our slope is 2/2, which is a whole and simplifies to 1. For the purpose of slope intercept form, however, we keep it as 2/2.
Now, we can choose an ordered pair to plug our slope into by using slope intercept formula:
y = mx + b
For the sake of the problem, though, we will avoid negatives at all costs. It is best to do this to avoid confusion.
5 = 2/2 (3) + b
5 = 3 + b
5 - 3 = 2
2 = b
b = 2
Finally, we can rewrite the equation with our new values to verify accuracy:
5 = 3 + 2
Because 3 + 2 = 5, we know our equation is true. Your equation is:
y = 2/2x + 2
Hope this helps!