William S. answered • 11/08/13

Experienced scientist, mathematician and instructor - William

y = (-7/3)x + 3 (Let's call this "Line 1")

This equation is already in the "standard form" so we know the slope of the line is (-7/3) and the y intercept if 3.

The line for which you are searching is perpendicular to Line 1. The only way this can be true is if its slope is (3/7).

Line 2: y = (3x/7) + b

We know that the point (-3, -3) lies on Line 2. Therefore we can substitute -3 for y and x in the previous equation:

Line 2: y = -3 = {[(3)(-3)]/7} + b

-3 = -9/7 + b

b = -3 + (9/7) = (-21/7) + (9/7) = (-12/7)

Line 2:

**y = (3x/7) - (12/7)**