Answer:
17
Step-by-step explanation:
The change in x from (1,3) to (9,18) is 9 - 1 which is 8. The change in y is 18 - 3 which is 15. Using the Pythagorean theorem (using the two points as the endpoints of the hypotenuse in a right triangle) we get:
[tex]8^2+15^2=c^2[/tex], where c is the distance between the two points (the hypotenuse of the right triangle). The equation simplifies to:
[tex]64+225=c^2[/tex]
Which simplifies to:
[tex]\sqrt{289} =c[/tex]
Thus, c (the distance between (1,3) and (9,18) is 17.
Hope this helps :)
