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 = (y_(2) - y_(1))/(x_(2) - x_(1)) = (-10 - 5)/(3 - (-2)) = (-15)/(3 + 2) = (-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