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Determine if each of the following pairs of equations is parallel, perpendicular, or neither.

y = -x + 5
y = x - 10

1 Answer

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Final answer:

The pair of equations y = -x + 5 and y = x - 10 represents two lines. They are perpendicular.

Step-by-step explanation:

The pair of equations y = -x + 5 and y = x - 10 represents two lines. To determine if they are parallel, perpendicular, or neither, we can compare their slopes. The slope of a line in the form y = mx + b is equal to m. In this case, both equations are in the standard form, so the slopes are the coefficients of x. The first equation has a slope of -1, and the second equation has a slope of 1. Since the slopes are negative reciprocals of each other, the lines are perpendicular.

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