Final answer:
The equation of the line is y = 5x + 13.
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope, m, is 5 and the line passes through the point (-3,-2), we can substitute these values into the equation.
Substituting m = 5 and (x,y) = (-3,-2), the equation becomes y = 5x + b. To find the value of b, we substitute x = -3, y = -2, and m = 5 into the equation and solve for b.
-2 = 5(-3) + b
-2 = -15 + b
b = 13
Therefore, the equation of the line is y = 5x + 13.