Write an equation of the line parallel to the line given by 3x-2y=8 and having the same y- intercept as the line given by 2y+3x=-4

Answer 1

3x - 2y = 8.
3x + 2y = -4.

Parallel lines have equal slopes:

m = -A/B = -3/-2 = 3/2 = Slope.

Let x = 0:
3*0 + 2y = -4,
y = -2 = y-int.

Eq: y = (3/2)x - 2.