Question

What is the distance between (-1, 2) and (3, 5)

Answer 1

Answer

the slope is 3/4 or .75

Answer 2

Answer:

The distance is 5 units.

Step-by-step explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

1) We are given 2 points --> (-1,2) and (3,5)

2) To find out the distance between both, we use distance formula.

This is: Given 2 points $(x_1, y_1)$ and $(x_2, y_2)$, the distance between the 2 points would be: $\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}$.

3) For the points (-1,2) and (3,5):

• -1 is x1
• 2 is y1
• 3 is x2
• 5 is y2

4) Therefore it would be --> $\sqrt{(-1 - 3)^{2} + (5-2)^{2}}$

5) This simplified would be $\sqrt{(-4)^{2} + 3^{2}}$

6) This further simplified would be: $\sqrt{16 + 9}$

7) This even more simplified would be $\sqrt{25}$ which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D