Question

Determine if the lines through each set of ordered pairs are parallel, perpendicular, or neither. Explain your answer. Ordered pairs: (8, 3) (-2, 5) and (-2, -5) (-1, -10)

Answer 1

Considering the slope of the lines, it is found that the lines going through the points are neither parallel nor perpendicular.

When are lines parallel, perpendicular or neither?

The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:

• If they are equal, the lines are parallel.

• If their multiplication is of -1, they are perpendicular.

• Otherwise, they are neither.

In this problem, the slopes are given as follows:

• m1 = (5 - 3)/(-2 - 8) = -2/10 = -1/5 = -0.2.

• m2 = (-10 - (-5))/(-1 -(-2)) = -5/1 = -5.

The multiplication is of 1, not -1, hence they are neither parallel nor perpendicular.

More can be learned about the slope of a line at brainly.com/question/12207360

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