Question

Write an equation for the line parallel to the given line that contains C.

Answer 1

ANSWER

$y= - 4x + 18$

EXPLANATION

The given line has equation;

$y = - 4x + 5$

The slope of this line is

-4

The given line is parallel to this line so it has the same slope:

$m = - 4$

The equation of this line is in the form:

$y-y_1=m(x-x_1)$

We substitute the slope and the point:

(3,6)

$y-6= - 4(x-3)$

$y= - 4x + 12+ 6$

$y= - 4x + 18$