Question

1. find the length and midpoint of ac.

ac = ______ midpoint = ______

Explanation:

Step1: Find the coordinates of A and C

The coordinate of A is -5 and the coordinate of C is 4.

Step2: Calculate the length of AC

Use the distance formula on a number - line $d=\vert x_2 - x_1\vert$. Here, $x_1=-5$ and $x_2 = 4$. So $AC=\vert4-(-5)\vert=\vert4 + 5\vert=9$.

Step3: Calculate the mid - point of AC

Use the mid - point formula on a number - line $M=\frac{x_1 + x_2}{2}$. Substitute $x_1=-5$ and $x_2 = 4$ into the formula. $M=\frac{-5 + 4}{2}=-\frac{1}{2}=-0.5$.

Answer:

$AC = 9$
Midpoint $=-0.5$