write the slope intercept form of an equation for the line that passes through (3,0) and is parallel to the graph of 2y-4x=6

Question

I’m in need of help on this question for my homework, I’m so confused

Answer 1

First, we need the slope of the line given. So manipulate the equation until it is in the y=mx+b form

2y-4x=6 Add 4x to both sides

2y-4x+4x=6+4x Simplify

2y=4x+6 Divide by 2

2y/2=4x/2+6/2 Simplify

y=2x+3

Since the slope of line is 2, the slope of the line parallel to is is also m=2. To find the equation of the line going through the point (3,0) use the following equation.

(y-y1)=m(x-x1) Plug in known values

(y-0)=2(x-3) Distribute

y=2x-6