Question

Use the distance formula to find the distance between the points given.(-9,3), (7, -6)

Answer 1

Given the points:

`(-9,3),(7,-6)`

You need to use the formula for calculating the distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1^))^2`

Where the points are:

`\begin{gathered} (x_1,y_1) \\ (x_2,y_2) \end{gathered}`

In this case, you can set up that:

`\begin{gathered} x_2=7 \\ x_1=-9 \\ y_2=-6 \\ y_1=3 \end{gathered}`

Then, you can substitute values into the formula and evaluate:

`d=√((7-(-9))^2+(-6-3)^2)`
`d=√((7+9)^2+(-9)^2)`
`d=√((16)^2+(-9)^2)`
`d=√(256+81)`
`d=√(337)`
`d\approx18.36`

Hence, the answer is:

`d\approx18.36`