Question

The points (0, -6) and (1, -3) fall on a particular line. What is its equation in slope-intercept form?

Answer 1

First, find the slope (m): m = $\frac{y2 - y1}{x2 - x1}$ = $\frac{-6 - (-3)}{0 - 1}$ = $\frac{-3}{-1}$ = 3

Next, input ONE of the points (x₁, y₁) and the slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁)   I am choosing to use (0, -6)

y - (-6) = 3(x - 0)

Then, solve for y:

 y + 6 = 3x

       y = 3x - 6

Answer: y = 3x - 6