Question

Find an equation of the line. Write the equation in the standard form.Through (7,4); parallel to 10x -y= 8.

Answer 1

10x-y=66

Step-by-step explanation:

Given the line:

`10x-y=8.`

Expressing it in slope-intercept form: y-mx+b

`\begin{gathered} y=10x-8 \\ \text{Slope, m=10} \end{gathered}`

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:

`\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}`