Find the slope of any line perpendicular to the line passing through (−2,7) and (−2,3)

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Chaya Proctor · Accepted Answer

I&#039;ll be using slope-intercept form, y=mx+b, for this.A perpendicular line is a line with a slope that is both the inverse and the reciprocal of the original slope. For example,       y    =          2      3       is perpendicular to       y    =          (      -              3        2            )      . It does not matter what the y-intercept b is in this situation, the slope is what&#039;s important.To find the slope, use the rise-over-run formula of                               y          2                -                  y          1                                      x          2                -                  x          1                                        3        -        7                              (          -          2          )                -                  (          -          2          )                      ⇒                  -        4                    0            This will be a special case. Since dividing by 0 is undefined, this makes your slope undefined. Contrary to the rules explained above, which should work for all other questions, your slope in this case is a perfectly horizontal line, as undefined is perfectly vertical.A horizontal line is called a slope of zero. As you&#039;ll see, the name is quite fitting, because your answer is:y=0

Find the slope of any line perpendicular to the line passing through (−2,7) and (−2,3)

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