Question

Which equation represents a line which is parallel to the line y = 3x - 8x + y = 18x - 3y = -123x + y = 6y - 3x = 7

Answer 1

Parallel equations have the same slope. First, let's identify the slope of the given equation, which is in the slope-intercept form:

`y=mx+b`

Where m is the slope and b is the y-intercept.

Comparing the given equation with this form, we have m = 3, so the slope is 3.

Now, let's identify the slope of each option:

`\begin{gathered} x+y=18\\ \\ y=-x+18\\ \\ m=-1 \end{gathered}`
`\begin{gathered} x-3y=-12\\ \\ 3y=x+12\\ \\ y=(1)/(3)x+4\\ \\ m=(1)/(3) \end{gathered}`
`\begin{gathered} 3x+y=6\\ \\ y=-3x+6\\ \\ m=-3 \end{gathered}`
`\begin{gathered} y-3x=7\\ \\ y=3x+7\\ \\ m=3 \end{gathered}`

Therefore the correct option is the fourth one: y - 3x = 7.