What is the location of the point on the number line that is 3/5 of the way from a=2 to b=17

11

Step-by-step explanation:

The distance that a is to b is b-a=17-2=15.

The line segment from a=2 to b=17 has length 15.

We need to know what is 3/5 of 15.

3/5 of 15 means what is 3/5 times 15?

(3/5)(15)=3(3)=9

So this means we are looking to make a line segment that is 9 units from 2 which is 2 to 11.

So 11 is 3/5 the way from a=2 to b=17.

Let's check from 2 to 11 that is a length of 9 and from 2 to 17 that is a length of 15.

Is 9/15 equal to 3/5?

Yes, 9/15 can be reduced to 3/5.

step-by-step explanation:

yes