The equation of the line L₁ is 5y + 2x + 8 = 0 and L₂ passes through the points (-5,0) and(5, -4).

The equation of the line L₁ is 5y + 2x + 8 = 0 and L₂ passes through the points (-5,0) and(5, -4). Without drawing the lines L₁ and L₂, show that the lines are parallel to each other

Answers

L = 5y + 2x + 8 = 0

5y = -2x - 8; y = -$\frac{2x}{5}-\frac{8}{5}$

Gradient m₁ = -$\frac{2}{5}$

Gradient of the line passing

through (-5, 0) and (5, -4)

$\frac{y -y_1}{x - x_1}$ = $\frac{-4 - 0}{5--5}$ = -$\frac{4}{10}$ = -$\frac{2}{5}$

Gradient m₂ = -$\frac{2}{5}$

for parallel lines m₁ = m₂

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johnmulu answered the question on March 7, 2017 at 08:08

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