Question

PLEASE HELP!!!! Use the table below to match the slopes to the lines.

Answer 1

Answer: Check out the filled out chart below.

Row 1:  1/4, 1/4,  -4

Row 2: -2, -2, 1/2

Row 3: 3, 3, -1/3

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Explanation:

Parallel lines have equal slopes. So if the original line has slope 1/4, then any parallel line will also have slope 1/4. The only thing different is the y intercept.

Perpendicular slopes multiply to -1 assuming neither line is vertical. For row 1, the perpendicular slope is -4 which multiplies with the original slope 1/4 to get -1.

Put another way, the perpendicular slope is the negative reciprocal of the original slope. For row 2, the perpendicular slope is 1/2 because we flip the fraction and the sign for the original slope -2 = -2/1