how do you write equations of lines given that they are parallel or perpendicular to a given line?

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02-10-2021
Mathematics

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how do you write equations of lines given that they are parallel or perpendicular to a given line?

Sagot :

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djtwinx017 djtwinx017 · Answer 1 · 2021-10-02T23:50:26-04:00

Answer:

Parallel or perpendicular lines are usually written in the slope-intercept form, y = mx + b (where "m" represents the slope, and "b" represents the y-intercept). The only difference between the linear equations of parallel or perpendicular lines is the slope.

Parallel lines have the same slope.

Example: y = 2x + 4

y = 2x - 8

Perpendicular lines have negative reciprocal slopes (which means that the product of both slopes = -1).

Example: y = 2x + 4

y = -½x - 8

The negative reciprocal of 2 is -½. If you multiply these two slopes, it will result in -1: (2) (-½) = -1

Attached are the screenshots of the equations I used as examples.

Please mark my answers as the Brainliest if you find this explanation helpful :)

Sagot :

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