The lines below are perpendicular. If the slope of the green line is -1/6, what is the slope of the red line?
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Answer:
slope of red line=6
Step-by-step explanation:
Hi there!
We're given a set of perpendicular lines and the slope of the green line being -1/6
Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1
So to find the slope of the red line, we can use this formula (m is the slope):
-1/6m=-1
Multiply both sides by -6 (clears the fraction to get 1m on the left)
m=6
So the slope of the red line is 6
Hope this helps!