37.2k views
2 votes
What would be the slope of a line that is perpendicular to the linear equation y = (-2/3)x +5?

User Onur Demir
by
6.9k points

1 Answer

11 votes

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.

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

User New Pagodi
by
7.8k points