Question

What is an equation of the line that is perpendicular to y=−3/4x+6 and passes through the point (3, 9) ?

Enter your equation in the box.

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Answer 1

y=4/3x+5

Explanation:

Perpendicular means the slope will be the negative reciprocal.

So the slope=4/3

y=4/3x+b

Now, enter the point (3,9) into the equation.

9=4/3(3)+b

9=4+b

b=9-4

b=5