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

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.

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