Question

What is the distance between points (-8,5) and (7,-3)? (Hint. Use the distance formula)

Answer 1

We are to find the distance between points (-8,5) and (7,-3).

`\begin{gathered} \sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ \text{where x}_1=-8,x_2=7,y_1=5andy_2=-3_{} \end{gathered}`
`\begin{gathered} \sqrt[]{(7-(-8))^2+(-3-5)^2} \\ \\ \sqrt[]{(7+8)^2+(-8)^2} \\ \\ \sqrt[]{15^2_{}+(-8)^2} \\ \\ \sqrt[]{225+64} \\ \\ \sqrt[]{289} \\ 17\text{ units} \end{gathered}`

CONCLUSION:

The distance between points (-8,5) and (7,-3) is 17 units.