Question

Calculate the distance between the points C=(-1, -3) and H=(2, -8) in the coordinate plane.

Give an exact answer (not a decimal approximation).

Answer 1

The distance between two points C=(-1, -3) and H=(2, -8) is 5.831

Explanation:

We need to calculate the distance between two points C=(-1, -3) and H=(2, -8)

The formula used to find distance between two points is:

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have
`x_1=-1, y_1=-3, x_2=2, y_2=-8`

Putting values in formula and finding distance:

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)\\Distance=√((2-(-1))^2+(-8-(-3))^2)\\Distance=√((2+1)^2+(-8+3)^2)\\Distance=√((3)^2+(-5)^2)\\Distance=√(9+25)\\Distance=√(34)\\Distance=5.831`

So, the distance between two points C=(-1, -3) and H=(2, -8) is 5.831