Question

what is the location of the point on the number line that is $\frac{3}{7}$ of the way from $a = - 4$ to $b = 17$?

a. 9
b. 7
c. 5
d. 3

Explanation:

Step1: Find the distance between A and B

$d=B - A=17-(-4)=17 + 4=21$

Step2: Calculate $\frac{3}{7}$ of the distance

$\frac{3}{7}\times d=\frac{3}{7}\times21 = 9$

Step3: Find the location of the point

The point is located at $A+\frac{3}{7}d=-4 + 9=5$

Answer:

C. 5