Question

Find the distance between the points with the given coordinates (-4, 9) and (1, -3).

Answer 1

Answer: 13

Explanation:

The formula for finding distance between two points is given by :

D =
`\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

`x_(1)` = -4

`x_(2)` = 1

`y_(1)` = 9

`y_(2)` = -3

Substituting the values into the formula , we have :

D =
`\sqrt{(1 -(-4))^(2) +(-3-9)^(2)}`

D =
`\sqrt{(5)^(2)+(-12)^(2)}`

D =
`√(25+144)`

D =
`√(169)`

D = 13

Therefore : the distance between the points is 13