## 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

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## Answers ( No )

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 = = = –

slope of other line using

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

m = = = – 2

lines are not parallel since slopes are unequal