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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(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic