Question

Find the equation of the line through the points (-2,5) and (3,-10). Give your answer in slope-intercept form.

Answer 1

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{-10 - 5}{3 - (-2)} = \frac{-15}{3 + 2} = \frac{-15}{5} = -3$

y - y₁ = m(x - x₁)
 y - 5 = -3(x - (-2))
 y - 5 = -3(x + 2)
 y - 5 = -3(x) - 3(2)
 y - 5 = -3x - 6
   + 5         + 5
      y = -3x - 1