math
posted by keshia on .
Write an equation of the line parallel to the line given by 3x2y=8 and having the same y intercept as the line given by 2y+3x=4

3x2y=8
2 y = 3 x  8
y = (1.5 ) x  4
slope = m = 1.5
so the line we want is of form
y = 1.5 x + b
then
3 x + 2 y = 4
when x = 0, y = 2
so
b = 2
and our result is
y = 1.5 x  2
or
2 y = 3 x  4