Question

#11

The distance between the points (5, -2) and (-7, 3) is

Answer 1

We have been asked to find the distance between the points (5, -2) and (-7, 3).

we can find the distance between the two points using the distance formula.

The distance formula is given as

`D=√((x_2-x_1)^2+(y_2-y_1)^2) \\\\\text{where } (x_1, y_1) \ and \ (x_2, y_2) \ are \ two \ points\\`

Now substitute the given values we get

`D=√((-7-5)^2+(3+2)^2)\\\\\D=√((-12)^2+5^2)=√(169)=13\\`

Hence the distance between the given points is 13.