Determine (a) the slope of the line parallel to the line whose slope is -6/7 and (b) the slope of the line perpendicular to the line whose slope is -6/7

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22-08-2022
Mathematics

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Determine (a) the slope of the line parallel to the line whose slope is -6/7 and (b) the slope of the line perpendicular to the line whose slope is -6/7

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MrRoyal MrRoyal · Answer 1 · 2022-08-24T15:43:18+02:00

The slope of the line parallel to the line whose slope is -6/7 is -6/7 and the slope of the line perpendicular to the line whose slope is -6/7 is 7/6

Determine (a) the slope of the line parallel to the line whose slope is -6/7

The slope is given as:

Slope =-6/7

The slopes of parallel lines are equal.

This means that the slope of the line parallel to the line whose slope is -6/7 is -6/7

Hence, the slope of the line parallel to the line whose slope is -6/7 is -6/7

Determine (b) the slope of the line perpendicular to the line whose slope is -6/7

The slope is given as:

Slope =-6/7

The slopes of perpendicular lines are opposite reciprocal

i.e.

Slope = -1/(-6/7)

Evaluate

Slope = 7/6

This means that the slope of the line perpendicular to the line whose slope is -6/7 is 7/6

Hence, the slope of the line perpendicular to the line whose slope is -6/7 is 7/6