What would be the slope of a line that is perpendicular to the linear equation y = (-2/3)x +5?

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02-03-2021
Mathematics

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What would be the slope of a line that is perpendicular to the linear equation y = (-2/3)x +5?

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Alexadanggirlidn Alexadanggirlidn · Answer 1 · 2021-03-02T10:47:52-05:00

Answer: The slope of a perpendicular line will be m = 3/2. To find the perpendicular gradient take the negative inverse of the original gradient.

Step-by-step explanation:

The slope of a perpendicular line will be m = 3/2. To find the perpendicular gradient take the negative inverse of the original gradient.

By 'negative inverse' I mean change the sign and switch the numerator and denominator (the top and bottom of the fraction).

The original gradient there is m = - 2/3. Remember the line equation: y = mx + c.

To gain the perpendicular gradient change the - to +, move the 3 to the top and the 2 to the bottom. Now m = + 3 / 2 = 3/2

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