SOLUTION: Consider the line 8x+4y=5? what is the slope of the line parallel to this line? what is the slope of the line perpendicular to this line?

Algebra ->  Linear-equations -> SOLUTION: Consider the line 8x+4y=5? what is the slope of the line parallel to this line? what is the slope of the line perpendicular to this line?      Log On


   

Question 633188: Consider the line 8x+4y=5?
what is the slope of the line parallel to this line?
what is the slope of the line perpendicular to this line?
Found 3 solutions by ewatrrr, solver91311, GFeliz:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

8x+4y=5   OR  y = -2x + 5/4, m = -2

what is the slope of the line parallel to this line? m = -2

what is the slope of the line perpendicular to this line? m = 1/2

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Parallel lines have equal slopes. Perpendicular lines have negative reciprocal slopes.

John

My calculator said it, I believe it, that settles it
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Answer by GFeliz(4) About Me  (Show Source):
You can put this solution on YOUR website!
Two lines are parallel if their slope is the same.
You want to write 8x + 4y = 5 in the form y = mx + b, where m represents the slope and b is the y-intercept.
We need to isolate y in the given equation. The number next to x is the slope.
8x + 4y = 5
4y = -8x + 5
y = (-8x +5)/4
y = -2x + 5/4
The slope of the line we want is -2.
Two lines are perpendicular if the slope of the first line times the slope of the second line produces a product of negative one.
Since our slope is -2, we know that -2 times 1/2 yields -1.
The slope of the line perpendicular is 1/2.
Understand?