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Answer: The slope of the other line is 7/5


Step-by-step explanation:

When looking for the slope of two perpendicular lines, the slope of the unknown is going to be the opposite reciprocal of the known line.


So here's another example. There's two perpendicular lines. The known is 2x. That means the unknown is going to be -1/2.

The known is -4/7. The unknown is 7/4.

Hope I could help! :)

The slope of the other line is 7/5 and it is perpendicular with a line of slope -5/7.

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Two lines are said to be perpendicular if the product of their slopes is -1. Hence the slope of the second line is the negative inverse of the slope of the first line.

Given that the slope of one line is -5/7, the negative inverse of -5/7 is 7/5.

Hence the slope of the other line is 7/5 and it is perpendicular with a line of slope -5/7.

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