Question

Write a equation of the line that passes through (-2,-3) and has a slope of 5

Answer 1

To get the Slope-Intercept form of a line, you first need to put it into Point-Slope form, which is $y - y_1 = m (x - x_1)$ where $x_1$ and $y_1$ 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