Question

A line has the equation 2y + 3x – 4 = 0. Write the equation of a line parallel to the given line that has a y-intercept of 9.

Answer 1

`y=-(3)/(2)x+9`

Explanation:

Parallel lines have the same slope, but different y-intercepts, so it helps to rewrite the equation in slope-intercept form:

`2y+3x-4=0\\2y=-3x+4\\y=-(3)/(2)x+2`

Now, just simply change the y-intercept from 2 to 9 and you're done!