Are the lines y= -x -4 and 5x + 5y =20

perpendicular? Explain.

No; their slopes are not equal

No; their slopes are equal.

Yes; their slopes are equal.

Yes; the product of their slopes is −1.

1 answer

No; their slopes are not equal.

To determine if two lines are perpendicular, we have to compare the slopes of the two lines. The first line, y = -x - 4, has a slope of -1. The second line, 5x + 5y = 20, can be rearranged to get the slope-intercept form: y = -x + 4, which has a slope of -1 as well. Since their slopes are equal, the lines are not perpendicular.
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