Question

Write an equation of a line that has a y intercept of (0,6) and is parallel to 3x+2y=4

Answer 1

You need to first change the original equation into slope-intercept Form.
$3x + 2y = 4 \\ 2y = - 3x + 4 \\ y = - \frac{3}{2} x + 2$
Parallel lines have the same slope but the new equation has a y-intercept at (0,6), so the new equation looks like
$y = - \frac{3}{2} x + 6$
that's your answer.