Question

Suppose we are given the following information.

Line 1 passes through (0, 6) and (6, 4).

Line 2 passes through (-1, -7) and (1, -1).

Are these lines parallel, perpendicular, or neither?

Group of answer choices

Answers

  1. Since the product of the slope is -1, hence the lines are perpendicular

    Parallel and Perpendicular lines

    Two lines are known to be parallel if they have the same slope while if two lines are perpendicular if the product of the slope is -1
    Given the coordinates of line 1 passing through (0, 6) and (6, 4), the slope is given as;
    Slope = 4-6/6-0
    Slope = -2/6
    Slope = -1/3
    Similarly for the coordinate points (-1, -7) and (1, -1).
    Slope = -1+7/1+1
    Slope of line 2 = 6/2
    Slope = 3
    Take the product of the slopes
    Slope = -1/3 * 3
    slope = -1
    Since the product of the slope is -1, hence the lines are perpendicular
    Learn more on parallel and perpendicular lines here: https://brainly.com/question/25429151
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