SOLUTION: 16. Are the following lines parallel, perpendicular, or neither? L1 through (–4, –7) and (1, 3) L2 through (2, 6) and (4, 10) A) Parallel B) Perpendicular C) Neither Th

Algebra ->  Linear-equations -> SOLUTION: 16. Are the following lines parallel, perpendicular, or neither? L1 through (–4, –7) and (1, 3) L2 through (2, 6) and (4, 10) A) Parallel B) Perpendicular C) Neither Th      Log On


   

Question 56774: 16. Are the following lines parallel, perpendicular, or neither?
L1 through (–4, –7) and (1, 3)
L2 through (2, 6) and (4, 10)
A) Parallel
B) Perpendicular
C) Neither
Thanks for all your help!!
Found 2 solutions by Nate, funmath:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Figure The Slope
L1 through (–4, –7) and (1, 3)
m = (3 + 7)/(1 + 4) = 10/5 = 2
L2 through (2, 6) and (4, 10)
m = (10 - 6)/(4 - 2) = 4/2 = 2
The lines are parallel.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
16. Are the following lines parallel, perpendicular, or neither?
L1 through (–4, –7) and (1, 3)
L2 through (2, 6) and (4, 10)
A) Parallel
B) Perpendicular
C) Neither
If the lines are parallel their slopes (m)are equal.
If the lines are perpendicular their slopes are negative reciprocals (opposite signs and upside down).
If it's not either of those it's neither.
The formula for finding the slope (m) given two points (x1,y1) and (x2,y2) is: highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29
L1 has a slope of m1=%283-%28-7%29%29%2F%281-%28-4%29%29
m1=%283%2B7%29%2F%281%2B4%29
m1=10%2F5
highlight%28m1=2%29
L2 has a slope of m2=%2810-6%29%2F%284-2%29
m2=4%2F2
highlight%28m2=2%29
m1=m2, therefore the lines are parallel. (A)
Happy Calculating!!!