show work if possible!:)

The answer to your question is y = 2x + 11

Step-by-step explanation:

Data

Original line   y = -(1/2)x + 5

Point (-4, 3)

Process

1.- Get the slope of the new line

- Slope of the original line = -1/2

  If the lines are perpendicular, the slopes must be reciprocal

                       -1/2  reciprocal = 2

2.- Get the equation of the new line

          y - y1 = m(x - x1)

          y - 3 = 2(x + 4)

- Simplification

         y - 3 = 2x + 8

- Solve for y

        y = 2x + 8 + 3

        y = 2x + 11