Find the equation of a line passing through ( -1/2,1/2) with a slope of 5.
a. y = 5x - 2
b. y = 5x - 3
c. y = 5x + 3

The correct answer is c because when I graphed each one the only one that passed through your given coordinate was that equation

First check the gradient - the number before the x which is 5 of course.
Then use the formula...
y - b = m(x - a) using the gradient m = (5) and the coordinate you have which is (-1/2,1/2)
( a      b)

So...
y- b = m (x - a)
y - 1/2 = 5 ( x - (-) 1/2)
y - 1/2 = 5 ( x + 1/2)
y - 1/2 = 5x + 2.5
y = 5x + 3 (C)

Hope that helped