Question

Find the distance between the two points rounding to the nearest tenth (if necessary). (-6,6) and (3, -6)

Answer 1

The formula used for calculating distance between two points is expressed as shown:

`D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

Given the coordinates (-6,6) and (3, -6)​

x1 = -6, y1 = 6, x2 = 3 and y2 = -6

Substitute this values into the formula above as shown:

`\begin{gathered} D\text{ = }\sqrt[]{(3-(-6))^2\text{ }+\mleft(-6-6\mright)^2} \\ D\text{ = }\sqrt[]{(3+6)^2\text{ }+(-12)^2} \\ D\text{ = }\sqrt[]{81\text{ }+144^{}} \\ D\text{ = }\sqrt[]{225} \\ D\text{ = }15 \end{gathered}`

Hence the distance between the two points is 15 units