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Are the lines y=-x-4 and 5x+5y=20 perpendicular? Explain.
No; their slopes are not equal
Yes; the product of their slopes is -1.
No; their slopes are equal.
Yes; their slopes are equal.
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OpenStudy (ivettef365):
first step is isolate the y on equation 5x +5y = 20, to find the slope
OpenStudy (ivettef365):
so you have 5y = -5x + 20, then divide all numbers by 5 and you get
y = -x + 4
OpenStudy (ivettef365):
so what is the slope on both equations
OpenStudy (anonymous):
y=mx+b
OpenStudy (ivettef365):
correct, where m = slope
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OpenStudy (anonymous):
-5
OpenStudy (ivettef365):
no, the equations are
y = -x -4 and the other one we said it is y = -x + 4
OpenStudy (anonymous):
so -x
OpenStudy (anonymous):
so the answer is d
jimthompson5910 (jim_thompson5910):
y=-x-4 is the same as y = -1x-4
it is of the form y = mx+b where m = -1 and b = -4
m is the slope, so the slope of y = -1x-4 is -1
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jimthompson5910 (jim_thompson5910):
and when two lines have the same slope, they are parallel lines (not perpendicular lines)