Question

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

Explanation:

Step1: Identify coordinates

Let the coordinate of point A be $x_1=-4$ and the coordinate of point B be $x_2 = 2.5$.

Step2: Apply mid - point formula

The mid - point formula for two points on a number line is $M=\frac{x_1 + x_2}{2}$. Substitute $x_1=-4$ and $x_2 = 2.5$ into the formula: $M=\frac{-4 + 2.5}{2}=\frac{-1.5}{2}=-0.75$. But it seems there is a mis - reading of the points, if we assume point A is $-1.75$ and point B is $1.75$.

Step3: Re - calculate mid - point

Using the mid - point formula $M=\frac{-1.75 + 1.75}{2}=\frac{0}{2}=0$. If we assume point A is $-1.75$ and point B is $2.5$. Then $M=\frac{-1.75+2.5}{2}=\frac{0.75}{2}=0.375$. If we assume point A is $-4$ and point B is $2.5$, $M=\frac{-4 + 2.5}{2}=-0.75$. If we assume point A is $-1.75$ and point B is $1.75$, the mid - point is $0$. If we assume point A is $-1.75$ and point B is $2.5$, $M=\frac{-1.75 + 2.5}{2}=\frac{0.75}{2}=0.375$. Let's assume the correct values are point A: $-1.75$ and point B: $2.5$.
$M=\frac{-1.75+2.5}{2}=\frac{0.75}{2}=0.375$.

Answer:

None of the given options are correct. If we assume a calculation error in options and re - calculate with correct method for points with values close to what seems indicated on the number line (A around $-1.75$ and B around $2.5$), the mid - point is $0.375$. If we assume the points are exactly as labeled in the most likely way (A = $-1.75$ and B = $2.5$), the mid - point formula $\frac{-1.75 + 2.5}{2}=0.375$ and there is no match in options.