Question

Find an equation of the line.Write the equation in the standard form.Through (8,4); parallel to 7x-y= 2.

Answer 1

7x-y=53

Step-by-step explanation:

Given the line

`7x-y=2`

Making y the subject of the equation, we have:

y = 7x-2

Therefore, the slope of the line, m=7

• If two lines are parallel, their slopes are equal.

Therefore, the slope of the parallel line = 7

The equation of the parallel line through (8,4) will then be:

`\begin{gathered} y-y_1=m(x-x_1) \\ y-4=7(x-8) \\ y-4=7x-57 \\ 7x-y=-4+57 \\ 7x-y=53 \end{gathered}`