To get the Slope-Intercept form of a line, you first need to put it into Point-Slope form, which is [tex]y - y_1 = m (x - x_1)[/tex] where [tex]x_1[/tex] and [tex]y_1[/tex] are the given coordinates and m is the given slope. So, plug your given information into the equation.
y + 3 = 5 (x + 2) Use the Distributive Property
y + 3 = 5x + 10 Subtract 3 from both sides
y = 5x + 7
