Question

The lines shown below are perpendicular. If the green line has a slop of 2/5, what is the slope of the red line?

Answer 1

The slope of the red line that is perpendicular to the green line is: -5/2.

What are the Slope Values of Perpendicular Lines?

When one line lies perpendicular to another line, the slope of one must be the negative reciprocal of the other line.

What is the Negative Reciprocal of a Number?

If given a number, i.e. a/b, the negative reciprocal of a/b would the opposite value of the reciprocal of a/b.

Reciprocal of a/b is b/a. Negative reciprocal of a/b would therefore be: -b/a.

Given that the slope of the green line is: 2/5. And it is perpendicular to the red line. The slope of the red line would be the negative reciprocal of 2/5.

Negative reciprocal of 2/5 is -5/2.

Therefore, the slope of the red line is: -5/2.

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