Question

what is the midpoint between points a and b?
a is at -4 (with a red dot), b is at a position between 2 and 3 (with a red dot) on the number line from -5 to 5.
options:
a. -0.875
b. 3.375
c. -1.75
d. 1.75

Explanation:

Step1: Determine the values of points A and B

From the number - line, point \(A=-4.5\) and point \(B = 2.75\)

Step2: Use the mid - point formula

The mid - point formula for two numbers \(x_1\) and \(x_2\) on a number line is \(M=\frac{x_1 + x_2}{2}\)
Substitute \(x_1=-4.5\) and \(x_2 = 2.75\) into the formula:
\(M=\frac{-4.5+2.75}{2}\)
First, calculate the numerator: \(-4.5 + 2.75=-1.75\)
Then, divide by 2: \(M=\frac{-1.75}{2}=- 0.875\)

Answer:

A. \(-0.875\)