Answer: parallel: slope is -1/7
Perpendicular: slope is 7
Step-by-step explanation:
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Explanation:
Solve the given equation for y
x+7y = 6
7y = 6-x
7y = -x+6
y = (-x+6)/7
y = (-x/7) + (6/7)
y = (-1/7)x + 6/7
The last equation is in the form y = mx+b with m = -1/7 as the slope.
The slope of the original equation is -1/7. Any parallel line will have the same slope (but different y intercept).
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Now to find the perpendicular slope.
Flip the fraction to go from -1/7 to -7/1 = -7
Then flip the sign to go from -7 to +7 or just 7.
The perpendicular slope is 7.
The original slope (-1/7) and the perpendicular slope (7) multiply to -1.
