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

Verified Answer :

logo88

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

Panoyin

\(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{0 - 4}{2 - (-6)} = \frac{-4}{2 + 6)} = \frac{-4}{8} = \frac{-1}{2} = -\frac{1}{2}\)

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

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