SOLUTION: Are these two lines perpendicular? Line 1: y=x+3 Line 2: x-y=13

Algebra.Com
Question 115632: Are these two lines perpendicular?
Line 1: y=x+3
Line 2: x-y=13

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Are these two lines perpendicular?
Line 1: y=x+3
Line 2: x-y=13
-----------
L1: y = x+3
L2: y = x-13
------------------
Both have a slope of m = 1 so the lines a parallel.
--------------------
Cheers,
Stan H.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let's solve for y in the second equation



Start with the given equation



Subtract x from both sides


Multiply both sides by -1 to isolate y. This will change the sign of all of the terms on the right


Now since the slope of the first line is and the slope of the second line is also , these two lines are parallel. So they cannot be perpendicular.

RELATED QUESTIONS

Are the following lines perpendicular? Line 1: y=x+3 line 2:... (answered by edjones)
I need help with this question. Determine if the pair of lines are parallel,... (answered by ewatrrr)
Is x=2,y=9 a parallel line, perpendicular line, or neither of these two lines. thanks for (answered by funmath)
find the line perpendicular to the lines: y=-4x+2... (answered by checkley71)
Two lines are perpendicular if Line 1 through (-4, 1) and (-2, -3) and Line 2 through... (answered by MathLover1)
IS THIS A PERPENDICULAR LINE, PARALLEL LINE, OR NEITHER OF THOSE TWO LINES. X=2,... (answered by funmath,praseenakos@yahoo.com)
Determing if these two lines are either Parallel, intersecting or coincident Line 1... (answered by checkley77)
what are the slopes of these lines, and the slopes of lines parallel to them?: 1.) y = (answered by Maths68)
Determine whether the following lines are parallel, perpendicular, or the same line. y (answered by edjones)