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

Answer:

$y = 5x - 42$

Step-by-step 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 $y = 5x - 42$.