Audrey Carter Slopes of Parallel/Perpendicular Lines
Sep 18, 12:17:10 PM
What is the slope of a line parallel to the line whose equation is
4x – 2y = –12. Fully simplify

The slope of a line parallel to 4x - 2y = -12 is (m=6), or just 6.

Step-by-step explanation:

In order to find the slope of the equation, we must first change the equation from standard form into slope-intercept form.

First things first is to subtract 4x from both side so that the y and slope are not on the same side of the equation, and so that the slope and y-intercept are on the same side of the equation.

4x - 2y = -12

-4x           -4x

-2y = -4x - 12

Subtracting 4x from both sides of the equation successfully transforms the equation from standard form into slope-intercept form and gives you the equation -2y = -4x - 12.

The next step is to make sure that the y is positive. It is also necessary to ensure that there is no coefficient. The way to do that is to divide all terms on both sides of the equation by -2.

-2y = -4x - 12

       -2

 y = 4x + 6

Dividing both sides of the equation by -2 correctly and fully transforms the equation into the slope-intercept form and as well gives us the equation  y = 4x + 6. From this equation we can see that the slope of the equation is 6, or (m=6).

Since the slopes of all parallel lines are exactly the same, we can conclude that the slope of a line parallel to 4x - 2y = -12 (y = 4x + 6) is 6.

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step-by-step explanation: