Question

What is the equation for the line that is perpendicular to y=3/4x+1, through (0,5)?

Answer 1

Answer:

The answer to your question is:    y = -(4/3) + 5   or    4x + 3y - 15 = 0

Step-by-step explanation:

Data

y = (3/4)x + 1

Point = (0, 5)

Process

As the lines are perpendicular, then slope:

Original slope = 3/4

New slope = -(4/3)

Line

          (y - y1) = m (x - x1)

         ( y - 5) = -(4/3) (x - 0)

         3(y - 5) = -4(x)

        3y - 15 = -4x

         4x + 3y - 15 = 0

         or      3y = -4x + 15

                  y = -(4/3) + 5

Answer 2

The equation is y=-4/3x+5