Question

Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation.

(4, –3), 3x – 2y = –4

Answer 1

First of all, let's put the 3x-2y=-4 into y=mx+b form.
Subtract 3x. (-2y=-3x-4) Then divide -2 from y.
It will look like this:
Simplify and you will get y=3/2 x +2.

Since this equation must be parallel to the given, this means that the slope is the same. They will slant the same way. Slope will remain 3/2 x.
The y-intercept, however, HAS to be different... In order to get that, you will have to plug in the coordinates (4, -3) into the equation and solve for b, the y-intercept.
-3=3/2 (4) +b.

Multiply 3/2 with 4 and get.. 6.
-3=6 + b
Subtract 6 from both sides...
-3-6=b

And... b=-9.

You now have all of the information you need. All you have to do is plug it all in to get your final equation: