9x-6y=-20 through (0,-4)

To make the equation go through (0,-4) the new equation would be 9x + 5y = 20. We needed to change it from subtracting to adding so the direction of the line would go from going down to up too up to down. In slope-intercept form the original equation would be found by the following.

9x - 6y = 20

-6y = 20 - 9x

y = -20/6 - (-9/6x)

y = 9/6x - 20/6

y = 3/2x - 10/3

To make the perpendicular line, take the slope and apply the opposite and reciprocal.

y = -2/3x - 10/3

Best of Luck!

step-by-step explanation:

y=mx+b

2

step-by-step explanation:

1+1=2