Question

Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0).

Answer 1

`m = (y_(2) - y_(1))/(x_(2) - x_(1)) = (0 - 4)/(2 - (-6)) = (-4)/(2 + 6)) = (-4)/(8) = (-1)/(2) = -(1)/(2)`

y - y₁ = m(x - x₁)
y - 4 = ⁻¹/₂(x - (-6))
y - 4 = ⁻¹/₂(x + 6)
y - 4 = ⁻¹/₂(x) - ¹/₂(6)
y - 4 = ⁻¹/₂x - 3
+ 4 + 4
y = ⁻¹/₂x + 1

Answer 2

the gradient is -1/2
and the equation is y= -1/2x