Question

Write an equation for a line parallel to y = 4x - 1 and passing through the point (3,17)y =

Answer 1

Recall that two lines are parallel if their slopes are equal.

Now, notice that the given equation is in slope-intercept form, then its slope is 4.

Using the point-slope formula for the equation of a line:

$y-y_1=s(x-x_1),$

we get:

$y-17=4(x-3)\text{.}$

Taking the above equation to its slope-intercept form we get:

$\begin{gathered} y-17=4x-12, \\ y-17+17=4x-12+17, \\ y=4x+5. \end{gathered}$

Answer:

$y=4x+5.$