Given the Linear Equation:
[tex]y=4x-6[/tex]You can identify that it is written in Slope-Intercept Form:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
Then, you can identify that:
[tex]\begin{gathered} m=4 \\ b=-6 \end{gathered}[/tex]By definition, parallel lines have equal slope but the y-intercepts are different. Therefore, a line parallel to the given line must have the same value of "m", but a different value of "b".
Notice the equation:
[tex]y=4x-5[/tex]You can identify that:
[tex]\begin{gathered} m=4 \\ b=-5 \end{gathered}[/tex]Therefore, it is parallel to the line given in the exercise.
Hence, the answer is: Option B.
