Question

question 19. image of a coordinate grid with points a(-3,5) and b(-7,-3) labeled what is the x-coordinate of the midpoint of \\( \overline{ab} \\)?

Explanation:

Step1: Recall midpoint x - coordinate formula

The formula for the x - coordinate of the midpoint of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(x_{mid}=\frac{x_1 + x_2}{2}\).
For point \(A(-3,5)\) and point \(B(-7,-3)\), \(x_1=-3\) and \(x_2 = - 7\).

Step2: Substitute values into the formula

Substitute \(x_1=-3\) and \(x_2=-7\) into the formula \(x_{mid}=\frac{x_1 + x_2}{2}\), we get \(x_{mid}=\frac{-3+(-7)}{2}\).
First, calculate the numerator: \(-3+(-7)=-3 - 7=-10\).
Then, divide by 2: \(\frac{-10}{2}=-5\).

Answer:

\(-5\)