Question

Find the midpoint of the line segment with the given endpoints: (- 9, 3)(7, - 8)

Answer 1

Answer:

$\boxed {\boxed {\sf (-1, -\frac{5}{2} ) \ or \ (-1, -2.5) }}$

Step-by-step explanation:

We are asked to find the midpoint of a line segment. The midpoint bisects the line segment, or divides it into 2 equal parts. We find the midpoint by finding the average of the x-coordinates, then the y-coordinates.

$( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

The endpoints are (-9, 3) and (7, -8). Match the value and the corresponding variable.

• x₁= -9
• y₁ = 3
• x₂ = 7
• y₂ = -8

Substitute the values into the formula.

$(\frac {-9+7}{2}, \frac{3 + -8}{2})$

Solve the numerators.

• -9+7 = -2
• 3+ -8 = -5

$( \frac{-2}{2}, \frac {-5}{2} )$

Divide.

$(-1, - \frac{5}{2} )$

The fraction can be written as a decimal.

$(-1,-2.5)$

The midpoint of the line segment is (-1, -5/2) or (-1, -2.5)