Find the coordinates of the midpoint of HX

Find The Coordinates Of The Midpoint Of HX

Answers

Answer 1

Answer:

[tex] M(29, -12) [/tex]

Explanation:

Given:

[tex] H(4\frac{1}{2}, -3\frac{1}{4}), X(2\frac{3}{4}, -2\frac{3}{4}) [/tex]

Required:

Coordinates of the Midpoint of HX

Solution:

Midpoint (M) of HX, for [tex] H(4\frac{1}{2}, -3\frac{1}{4}), X(2\frac{3}{4}, -2\frac{3}{4}) [/tex] is given as

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex].

Let [tex] H(4\frac{1}{2}, -3\frac{1}{4}) = (x_1, y_1) [/tex]

[tex] X(2\frac{3}{4}, -2\frac{3}{4}) = (x_2, y_2) [/tex]

Thus:

[tex] M(\frac{4\frac{1}{2} + 2\frac{3}{4}}{2}, \frac{-3\frac{1}{4} + (-2\frac{3}{4})}{2}) [/tex]

Convert to improper fractions

[tex] M(\frac{\frac{9}{2} + \frac{11}{4}}{2}, \frac{-\frac{13}{4} + (-\frac{11}{4})}{2}) [/tex]

[tex] M(\frac{\frac{18 + 11}{2}}{2}, \frac{\frac{-13 - 11}{4}}{2}) [/tex]

[tex] M(\frac{\frac{29}{2}}{2}, \frac{\frac{-24}{4}}{2}) [/tex]

[tex] M(\frac{29}{2}*2, \frac{-24}{4}*2 [/tex]

[tex] M(29, -12) [/tex]


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