Question

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

Answer 1

Answer:

y=4/3x+5

Step-by-step 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