Answer :
Answer:
lines are parallel
Step-by-step explanation:
• Parallel lines have equal slopes
• Perpendicular slopes are the negative reciprocal to each other
Calculate the slopes m using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (2, 4)
m = [tex]\frac{4+1}{2+3}[/tex] = [tex]\frac{5}{5}[/tex] = 1
repeat using
(x₁, y₁ ) = (2, - 6) and (x₂, y₂ ) = (7, - 1)
m = [tex]\frac{-1+6}{7-2}[/tex] = [tex]\frac{5}{5}[/tex] = 1
Since slopes are equal then the lines are parallel
Answer:
parallel
Step-by-step explanation:
[tex]\frac{4--1}{2--3} =\frac{4+1}{2+3} =\frac{5}{5} = 1\\\frac{-1--6}{7-2} =\frac{-1+6}{7-2} =\frac{5}{5} =1[/tex]