Question

Write an equation in slope-intercept form for the line parallel to y = 5x - 2 that passes through the point (8, -2).

Answer 1

`$ y = 5x - 42 $`

Explanation:

The equation of parallel line differ only by their constant.

Hence, the equation of the line parallel to
`$ y = 5x - 2 $` is nothing but
`$ y = 5x + c $`

When a point passing through this line is given we can substitute the point in this line and get the value for
`$ c $`.

The line passes through
`$ (8 , -2) $`.

Therefore, we have:
`$ -2 = 5(8) + c $`

`$ \implies c = -42$`.

Substituting this we get the equation of the parallel line as
`$ y = 5x - 42 $`.