We know m = 5, x = 3, and y = -2, and that the point slope form is y = mx + b, so plugging these in we can solve for b;
-2 = 5 * 3 + b
-2 = 15 + b
b = -17
So the equation for the line would be;
y = 5x - 17
b is the y intercept, so that is answered (0,-17), to solve for the x intercept you have to plug 0 in for y in the equation, so;
0 = 5x - 17
17 = 5x
x = 17/5
So the x intercept would be (17/5,0)
