Question

2. Find the distance between points (1,3) and (9,18) on the coordinate plane.

Answer 1

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:

$8^2+15^2=c^2$, where c is the distance between the two points (the hypotenuse of the right triangle). The equation simplifies to:

$64+225=c^2$

Which simplifies to:

$\sqrt{289} =c$

Thus, c (the distance between (1,3) and (9,18) is 17.

Hope this helps :)