SOLUTION: Hi I need help with these four problems that I didn't seem to understand in my homework. -14x = -632 - 26y y = (7/13)x - 316/13 A. Parallel B. Perpendicular C. N

Algebra ->  College  -> Linear Algebra -> SOLUTION: Hi I need help with these four problems that I didn't seem to understand in my homework. -14x = -632 - 26y y = (7/13)x - 316/13 A. Parallel B. Perpendicular C. N      Log On


   

Question 1019903: Hi I need help with these four problems that I didn't seem to understand in my homework.
-14x = -632 - 26y
y = (7/13)x - 316/13
A. Parallel
B. Perpendicular
C. Not Parallel and Not Perpendicular
D. Vertical
E. Horizontal
F. Horizontal Couch Potato


17. 5x + 4y = -60
y = (-4/5)x - (3/5)
A. Vertical
B. Vertigo
C. Vercengeterix
D. Perpendicular
E. Parallel
F. Not Parallel and Not Perpendicular
x + 6y = 196
689 = (6201/230)y + (4823/460)x
A. Vertical
B. Horizontal
C. Horizon
D. Not Parallel and Not Perpendicular
E. Parallel
F. Perpendicular


19. -2y = -380 + 14x
y = -7x + 190
A. Horror
B. Horizontal
C. Horizon
D. Perpendicular
E. Parallel
F. Not Parallel and Not Perpendicular


Found 2 solutions by ewatrrr, Boreal:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi 

Note:  the standard slope-intercept form for an equation of a line is 

y+=+highlight_green%28m%29x+%2B+highlight%28b%29  where m is the slope and b the y-intercept.  

It is as simple as solving the first of the two for y and comparing their slopes

-14x = -632 - 26y   0r y+=+highlight_green%2814%2F26%29x+-+highlight%28632%29

 y = (7/13)x - 316/13  Lines are parallel 14%2F26+=+7%2F13



5x + 4y = -60 0r y+=+highlight_green%285%2F4%29x+-+highlight%2815%29

 y = (-4/5)x - (3/5) Lines are perpendicular %28-4%2F5%29%285%2F4%29+=+-1 negative reciprocals



-2y = -380 + 14x  0r y+=+highlight_green%28-7%29x+%2B+highlight%28190%29 

 y = -7x + 190 Lines are parallel -7+=+-7

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the slopes after you have the equation in the form y=mx+b
The first is 26y=14x-632; y=(7/13)x-632/13
The second has slope 7/13. These lines are parallel, and the intercepts are different.
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-2y=-380+14x
y=-7x+190. Slope is 7. That is all that matters.
The other slope is (7/13). These are not equal and they are neither parallel nor perpendicular.
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4y=-5x-60
y=(-5/4)x-60
The other is -4/5. Their product is 1, not -1, so these are neither parallel nor perpendicular.
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c. 6y=-x+196, y=-(1/6)x+(196/6)
the other has a slope of -4823/460, which is about 10.5, so they are neither.
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The first has slope of -7 and is y=-7x+190
The second has slope of -7 and is y=-7x+190. They are the same line.
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