How do you find the distance and midpoint between the two points. (4, -6) (-2, 8)?

Question

jbaekk7q · Accepted Answer

To find the distance we just apply Pythagoras. Think of it this way:The difference between the x points causes a straight horizontal line, the difference between the y points causes a straight vertical line, so the distance between the two points is the hypotenuse, or            d      2        =    Δ          x      2        +    Δ          y      2            d    =                  Δ                  x          2                +        Δ                  y          2                          d    =                                        (            -            2            -            4            )                    2                +                              (            8            -                          (              -              6              )                        )                    2                          d    =                  36        +        196                  d    =                  232                  d    =                  58        ⋅        4              =    2                  58            The midpoint between two points, M, is literally just the average between the x values and the average between the y values, or      M    =          (              x        ¯            ,              y        ¯            )      We have that            x      ¯        =                  4        -        2            2        =          2      2        =    1  And that            y      ¯        =                  8        -        6            2        =          2      2        =    1

How do you find the distance and midpoint between the two points. (4, -6) (-2, 8)?

Answered question

Answer & Explanation

New Questions in High school geometry