QuestionFind the midpoint of the line segment between the points $(-2,4)$ and $(2,6)$ .

Studdy Solution

STEP 1

Assumptions1. The given points are (-,4) and (,6) . The midpoint of a line segment with endpoints $(x1, y1)$ and $(x, y)$ is given by the formula $((x1 + x)/, (y1 + y)/)$

STEP 2

We will apply the midpoint formula to find the midpoint of the line segment. $Midpoint = ((x1 + x2)/2, (y1 + y2)/2)$

STEP 3

Now, plug in the given values for $x1$ , $y1$ , $x2$ , and $y2$ into the midpoint formula.
$Midpoint = ((-2 +2)/2, ( +6)/2)$

STEP 4

Calculate the x-coordinate of the midpoint.
$x-coordinate = (-2 +2)/2 =0$

STEP 5

Calculate the y-coordinate of the midpoint.
$y-coordinate = (4 +)/2 =5$

STEP 6

Combine the x-coordinate and y-coordinate to form the coordinates of the midpoint.
$Midpoint = (0,5)$ The midpoint of the line segment connecting the points $(-2,4)$ and $(2,6)$ is $(0,5)$ .

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