Question

Find the distance between the pair of points. Round to the nearest hundredth.(-4, 6) and (3,-7)

Answer 1

The distance between 2 points (x1, y1) and (x2, y2) is calculated as:

`\text{distance}=√((x_2-x_1)^2+(y_2-y_1)2)`

So, replacing (x1, y1) by (-4, 6) and (x2, y2) by (3, -7), we get:

`\begin{gathered} \text{distance}=√((3-(-4))^2+(-7-6)^2) \\ \text{distance}=√((3+4)^2+(-7-6)^2) \\ \text{distance}=√((7)^2+(-13)^2) \\ \text{distance}=√(49+169) \\ \text{distance}=√(218) \\ \text{distance}=14.76 \end{gathered}`

Answer: The distance is 14.76 units