Question

what is the midpoint between points a and b? a. -1.75 b. 1.75 c. -0.875 d. 3.375

Explanation:

Step1: Identify the coordinates of A and B

The coordinate of point A is - 1.75 and the coordinate of point B is 2.5.

Step2: Use the mid - point formula

The mid - point formula for two points \(x_1\) and \(x_2\) on a number line is \(M=\frac{x_1 + x_2}{2}\). Here \(x_1=-1.75\) and \(x_2 = 2.5\). So \(M=\frac{-1.75+2.5}{2}\).

Step3: Calculate the sum in the numerator

\(-1.75 + 2.5=0.75\). So the expression becomes \(M=\frac{0.75}{2}\).

Step4: Perform the division

\(\frac{0.75}{2}=0.375\).

Answer:

0.375