SOLUTION: Graph y = 5x – 12 and y – 5x = 19. Are the lines parallel, perpendicular, or neither?

Algebra ->  Linear-equations -> SOLUTION: Graph y = 5x – 12 and y – 5x = 19. Are the lines parallel, perpendicular, or neither?      Log On


   



Question 916314: Graph y = 5x – 12 and y – 5x = 19. Are the lines parallel, perpendicular, or neither?
Found 2 solutions by MathLover1, Fombitz:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+5x+-12 and y-5x+=+19

Are the lines parallel, perpendicular, or neither?
if they have same slopes, they will be parallel
if their slopes are negative reciprocals, they will be perpendicular
if not neither of above, then lines neither parallel nor perpendicular
check if they have same slopes:
y+=+highlight%285%29x+-12 ...slope is 5
y+-5x+=+19=>y+=+highlight%285%29x%2B+19...slope is 5
as you can see, they have same slope; so, your lines are parallel

graph them:
since you have linear functions, graph will be a line and you need only two points to graph each line

easiest is to find x and y-intercept
y+=+5x-12 ...set y=0
0+=+5x+-12
12=+5x+
12%2F5=+x+
2.4=+x+
x-intercept is at (+2.4, +0+)

y+=+5x+-12 ...set x=0
y+=+5%2A0+-12
y=+-12

y-intercept is at (+0+, +-12+)

now y+-5x+=+19
y+-5x+=+19 ...set y=0
0+-5x+=+19
-5x+=+19
x+=+19%2F-5

x+=+-3.8
x-intercept is at (+-3.8+, +0+)

y+-5x+=+19 ...set x=0
y+-5%2A0+=+19
y=19

y-intercept is at (+0+, +19+)

plot these points and draw a graphs:

+graph%28+600%2C+600%2C+-25%2C+20%2C+-20%2C+30%2C+5x%2B19%2C+5x+-12%29+

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel. They both have a slope of 5 and unique y intercepts.