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

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

linear pair postulates

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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