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Are x plus 10 equals y and y-x equals -6 parrellel?

Updated: 8/20/2019
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12y ago

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Adriana Doyle

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3y ago
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12y ago

The system of equations is written like this:

x+10=y and y-x=-6.

In order to determine whether or not the two lines are parallel, we must convert the equations into slope-intercept form and compare the slopes.

1st Equation:

x+10=y

y=x+10

Well, that was easy.

2nd Equation:

y-x=-6

y=x-6

Now, both equations have the same coefficient by x, which is 1. This means that the two lines have the same slope. However, the y-intercepts of 10 and -6 are different, so the two lines are different. Since the lines have the same slope but are in different positions, then the system of equations is indeed graphically parallel.

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Q: Are x plus 10 equals y and y-x equals -6 parrellel?
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