Respuesta :

Answer:

y=2/3x-5

Step-by-step explanation:

First, let's put this equation into slope-intercept form.

2x-3y=24

-3y=-2x+24

y=2/3x-8

For two lines to be parallel, they must have the same slope. Therefore our slope is 2/3.

Now, we must find b. To do that we can plug the y and the x in.

-7=2/3(-3)+b

-7=-2+b

-5=b

y=2/3x-5

Answer:

y = [tex]\frac{2}{3}[/tex]x - 5

Step-by-step explanation:

Points: (-3, -7)

Equation: 2x - 3y = 24

2x - 3y = 24

-3y = -2x + 24

y = [tex]\frac{2}{3}[/tex]x - 8

y = [tex]\frac{2}{3}[/tex]x + b

-7 = [tex]\frac{2}{3}[/tex] ( -3 ) + b

-7 = -2 + b

b = -5

y = [tex]\frac{2}{3}[/tex]x - 5