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

Question

asked Jun 21, 2023 235k views

2 Answers

Doug Knudsen · Answer 1 · 2023-06-25T15:27:21+0000

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