Question

A linear function is parallel to the line y= 4x + 8 and also goes through the point (2,15).What is the linear equation for this function?

Answer 1

When written in the $y=mx+q$ form, the slope of a line is given by the coefficient $m$. Moreover, two lines are parallel if the have the same slope.

Now, the slope of the known line is 4, so our line's slope will be four as well.

In general, when you know the slope $m$ of a line and one of its points $(x_0,y_0)$, the equation of the line can be derived from the following formula:

$y-y_0 = m(x-x_0)$

Which in your case becomes

$y-15 = 4(x-2)$

Expand the right hand side and solve for y:

$y = 4x+7$