QuestionFind the midpoint of the segment between the points $(-7,5)$ and $(7,7)$ .

Studdy Solution

STEP 1

Assumptions1. The coordinates of the first point are (-7,5) . The coordinates of the second point are (7,7)

STEP 2

The formula for the midpoint of a line segment with endpoints $(x1, y1)$ and $(x2, y2)$ is given by $Midpoint = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right)$

STEP 3

Now, plug in the given values for $x1$ , $y1$ , $x2$ , and $y2$ into the midpoint formula.
$Midpoint = \left(\frac{-7 +7}{2}, \frac{5 +7}{2}\right)$

STEP 4

Calculate the x-coordinate of the midpoint.
$x_{mid} = \frac{-7 +7}{2} =0$

STEP 5

Calculate the y-coordinate of the midpoint.
$y_{mid} = \frac{5 +7}{2} =$

STEP 6

Combine the x and y coordinates to form the coordinates of the midpoint.
$Midpoint = (0,6)$ The midpoint of the line segment connecting the points $(-,5)$ and $(,)$ is $(0,6)$ .

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