1. write the equation in slope intercept form for the line that is perpendicular to the line passing through
(-6, 2) and (-4,-3) and passes through the point (2,-5) and then graph the perpendicular line and the
original line. show all work.

The answer to your question is  y = 2/5 x - 29/5

Step-by-step explanation:

Data

Points of the first line

A (-6, 2)

B (-4, -3)

Points of the second line

C (2, 5)

Process

1.- Find the slope of the first line

Original line

          y - 2 = -5/2 (x + 6)

          y = -5/2 x - 15 + 2

          y = -5/2 x - 13

2.- Find the slope of the new line, if the lines are perpendicular,

     m =

3.- Find the equation of the line

     y - y1 = m(x - x1)

Substitution

    y + 5 = 2/5(x - 2)

Simplification and result

    y = 2/5x - 4/5 - 5

    y = 2/5 x - 4/5 - 25/5

    y = 2/5 x - 29/5

i think the correct option is the second option.