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

User RaphArbuz
by
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2 Answers

3 votes

Answer:

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

User Dave Newton
by
7.7k points
4 votes

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

User Doug Knudsen
by
8.5k points

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