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How do you find the slope that is perpendicular to the line #y=7/5x - 2#?

Answer 1

The slope is #(-5)/7#.

The slope of a line in slope intercept form (#y=mx+b#) gives the slope of the line. The coefficient of #x#, which we call #m#, is equal to a line's slope.

In this case, the slope is #7/5#.

To find the slope of a perpendicular line, we simply use the negative reciprocal of the number. The reciprocal of #7/5# is #5/7#.

Therefore, the negative reciprocal of #7/5# is #(-5)/7#.

The slope of a perpendicular line is therefore #(-5)/7#.

In other cases, you might need to manipulate the equation to get it in slope intercept form.

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Answer 2

Jameson Allen

The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line. The given line has a slope of 7/5. The negative reciprocal of 7/5 is -5/7. Therefore, the slope of the line perpendicular to y = 7/5x - 2 is -5/7.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.