Question

Which is the equation in the slope intercept form for the line that passes through (-2,15) and is parallel to 2x+3y=4?

Answer 1

y=-2/3x+41/3

Explanation:

First, because the line is parallel to 2x+3y=4, the line has the same slope. So, let's first solve for the slope.

2x+3y=4

3y=-2x+4

y=-2/3x+4/3

Using the point slope formula, we get

y-15=-2/3(x-(-2))

Simplifying results in

y=-2/3x+41/3