The equation parallel to the given line is:
[tex]y=-4x+32[/tex]Explanation:Given the equation:
[tex]y=-4x+23[/tex]The slope is -4 and y-intercept is 23.
An equation parallel to the given equation must have the same slope but different y-intercept.
Let the equation be:
[tex]y=-4x+b[/tex]To find b, we use the given point that the line passes through, (6, 8).
With x = 6 and y = 8.
Doing that, we have:
[tex]\begin{gathered} 8=-4(6)+b \\ \\ 8=-24+b \\ \\ b=24+8=32 \end{gathered}[/tex]Using the value of b above, we have the parallel equation as:
[tex]y=-4x+32[/tex]