whats the parell line to (3,-3) and 2x+3y=15

Answer 1

2x+3y = 15 will have parallel lines that are

2x+3y = C = any constant other than 15, plug in (3,-3) to solve for C

2(3)+3(-3) = 6-9 = -3 = C

2x+3y = -3 is the parallel line through the point (3,-3)

or other ways to solve the problem include

solving the equation for y = -2x/3 +15/3

then using y=-2x/3 + b, plug in x=3,y=-3 to solve for b

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

b = -3 +2 =-1

y = -2x/3 -1 is the parallel line you want in slope intercept form

multiply by 3 to get

3y=-2x-3

2x+3y = -3 in standard form

Answer 2

Solve the equation for y

2x+3y=15

3y=-2x+15

Y=-2/3x+5

M=-2/3

Use point slope (y-y1)=m(x-x1) using slope and point(3,-3)

(Y-(-3))=-2/3(x-3)

Y+3=-2/3x+2

Y=-2/3x-1