Question

Use the distance formula to find the distance between the points (-3,8) and (-4,-1). Round to the nearest hundredth if necessary.

Answer 1

9.06

Explanation:

The formula of a distance between two points:

`\boxed{d=√((x_2-x_1)^2+(y_2-y_1)^2)}`

We have the points (-3, 8) and (-4, -1). Substitute:

`d=√((-4-(-3))^2+(-1-8)^2)=√((-1)^2+(-9)^2)=√(1+81)=√(82)\\\\√(82)\approx9.06`