Question

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

Answer 1

The distance is 5 units.

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:
`√(16 + 9)`

7) This even more simplified would be
`√(25)` which is 5.

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

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

Answer 2

the slope is 3/4 or .75