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is the line through points p(-7,2) and q(7,-6) parallel to the line through points r9-1,-5) and S(-3,-1)? Explain

A.No; one lin has zero slope the other has no slope
Yes; The lines are both vertical
Yes; The lines have equal slopes
No; the lines have unequal slopes

Respuesta :

No : the lines have unequal slopes

Parallel lines have equal slopes

calculate the slope( m) of each line using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 7, 2) and (x₂, y₂ ) = (7, - 6 )

m = [tex]\frac{-6-2}{7+7}[/tex] = [tex]\frac{-8}{14}[/tex] = - [tex]\frac{4}{7}[/tex]

slope of other line using

(x₁, y₁ ) = (- 1, - 5 ) and (x₂, y₂ ) = (- 3, - 1 )

m = [tex]\frac{-1+5}{-3+1}[/tex] = [tex]\frac{4}{-2}[/tex] = - 2

lines are not parallel since slopes are unequal


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