Question

Which is the best description of the lines y = 3x + 1 and y = 3x -5

Answer 1

The two lines are parallel, because they have the same slope.

Answer 2

For a line in the slope-intercept form:

`\begin{gathered} y=mx+b \\ m=slope \\ b=y-intercept \end{gathered}`

From:

`\begin{gathered} y=3x+1 \\ m1=3 \\ b1=1 \end{gathered}`

From:

`\begin{gathered} y=3x-5 \\ m2=3 \\ b2=-5 \end{gathered}`

If two lines are parallel, then:

`\begin{gathered} m1=m2 \\ 3=3 \\ True \end{gathered}`

Therefore, we can conclude, the lines are parallel