Can anyone tell me where I can go to find a better understanding on how to solve this type of problem:

Question

(-7,2); 3x=2y+9. what is the equation of the line is y=() simplify the answer using integers or fractions.

Answer 1

I will derive an Eq passing through the given point with a slope = to that
of given Eq.

(-7 , 2), 3x = 2y + 9
3x - 2y = 9, STD Form,
Slope = -A/B = -3/-2 = 3/2,
Y = mx + b,
Substitute x,y from given point into
new Eq:
2 = (3/2)(-7) + b,
Solve for b:
2 = -21/2 + b,
21/2 + 2 = b,
25/2 = b or b = 25/2.

New Eq: y = (3/2)x + 25/2.

Answer 2

thanks Henry... the explanation is great.