Question

Find an equation of the line containing the point (2,-5) and parallel to y = – 4x – 2.

Write your answer in slope-intercept form.

Answer 1

the desired equation is y = – 4x + 3

Explanation:

Parallel lines have the same slope and thus similar equations. Thus, the equation of a line parallel to the given line has the form y = – 4x + C. We need only find C.

The new line goes through (2, -5), and so we substitute 2 for x and -5 for y to obtain

-5 = – 4(2) + C. Then -5 + 8 = C, or C = 3.

Then the desired equation is y = – 4x + 3