Question

How to find the distance between (-7,4) and (-4,1 )Round your answer to the nearest hundredth

Answer 1

The given co-ordinates are:

`\begin{gathered} A(-7,4)\text{ and B(-4,1)} \\ x_1=-7,y_1=4 \\ x_2=-4,y_2=1 \end{gathered}`

The distance between two points is calculated using the formula below:

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

Thus, we have:

`|AB|=\sqrt[]{(-4-(-7))^2+(1-4)^2}`
`\begin{gathered} |AB|=\sqrt[]{(-4+7)^2+(-3)}^2 \\ |AB|=\sqrt[]{3^2+9} \\ |AB|=\sqrt[]{9+9} \\ |AB|=\sqrt[]{18} \\ |AB|=4.24 \end{gathered}`

Hence, the distance between the points is 4.24