Answer:
10x-y=66
Explanation:
Given the line:
[tex]10x-y=8.[/tex]Expressing it in slope-intercept form: y-mx+b
[tex]\begin{gathered} y=10x-8 \\ \text{Slope, m=10} \end{gathered}[/tex]Two lines are parallel if their slopes are equal.
Therefore, the equation of the line parallel to 10x-y=8 passing through (7,4) is:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-4=10(x-7) \\ y-4=10x-70 \\ 10x-y=-4+70 \\ 10x-y=66 \end{gathered}[/tex]