Question

Find the distance between the points (-4,-3) and (-1,7) round to the nearest tenth

Answer 1

`√(109)` units

Explanation:

To find the distance between two points on a graph, we use the distance formula
`d=√((y_2-y_1)^2+(x_2-x_1)^2)` where
`d` is the distance between points
`(x_1,y_1)` and
`(x_2,y_2)`

For this problem, we will identify
`(x_1,y_1)\rightarrow(-4,-3)` and
`(x_2,y_2)\rightarrow(-1,7)`:

`d=√((y_2-y_1)^2+(x_2-x_1)^2)\\\\d=√((7-(-3))^2+(-1-(-4))^2)\\\\d=√(10^2+3^2)\\\\d=√(100+9)\\\\d=√(109)`

Therefore, the distance between
`(-4,-3)` and
`(-1,7)` is
`√(109)` units