Write the equation of the line perpendicular to y=-2/3x+1 passing through the point (-6,4)

y=3/2x+13

Step-by-step explanation:

To find the slope of a perpendicular line, you have to find the negative inverse of the slope. The negative inverse of -2/3 is 3/2.

This means that the equation of the perpendicular line is y=3/2x+a.

To find a, you have to input the given points into the new equation. If you input the given points into the equation you get 4 = 3/2(-6)+a. When you solve that equation, you get a=13.

When you input the a value into the new equation, you get a final equation of y=3/2x+13.

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