Find an equation of the line containing the point (2,-5) and parallel to y = – 4x – 2. Write your answer in slope-intercept form.

the desired equation is y = – 4x + 3

Step-by-step 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

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