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Given the points below, are the two lines parallel, perpendicular, or neither.
L1: (-3,-4) (-5,2) L2: (1, -6) (-2,3)

Sagot :

aarambhaadhikari62

Answer:

The given lines are parallel when plotted in graph.

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:

Calculate the slope m of the lines using the slope formula.

If the slopes are equal then the lines are parallel

If the product of the slopes is - 1 then the lines are perpendicular.

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (- 5, 2)

m = [tex]\frac{2+4}{-5+3}[/tex] = [tex]\frac{6}{-2}[/tex] = - 3 ← slope of L1

Repeat with (x₁, y₁ ) = (1, - 6) and (x₂, y₂ ) = (- 2, 3)

m = [tex]\frac{3+6}{-2-1}[/tex] = [tex]\frac{9}{-3}[/tex] = - 3 ← slope of L2

Since the slopes are equal then the two lines are parallel

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