SOLUTION: the slope of a line perpendicular to this line is ________ x + 2y =8

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Question 761432: the slope of a line perpendicular to this line is ________ x + 2y =8
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Divide the opposite of the coefficient on by the coefficient on . Take the negative reciprocal of your answer.

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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if given line
x+%2B+2y+=8..write it in slope-intercept form y+=+mx%2Bb to find a slope m%5B1%5D
2y+=-x%2B8
y+=-x%2F2%2B8%2F2
y+=-%281%2F2%29x%2B4...so, the slope m%5B1%5D=-%281%2F2%29
as you know,the line perpendicular has a m%5B2%5D=-1%2Fm%5B1%5D
m%5B2%5D=-1%2Fm%5B1%5D....plug in m%5B1%5D=-%281%2F2%29
m%5B2%5D=-1%2F%28-1%2F2%29
m%5B2%5D=1%2F%281%2F2%29
m%5B2%5D=2%2F1
m%5B2%5D=2
then, the line perpendicular to given line is y+=2x%2B4

let's see it on a graph:
+graph%28600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-%281%2F2%29x%2B4%2C+2x%2B4%29+