Question

Find the distance between the points P= (1,3) and Q= (-4,2)

Answer 1

In order to find the distance between two points (x1, y1) and (x2, y2), we can use the following formula:

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

Using the points P(1, 3) and Q(-4, 2), we have:

`\begin{gathered} d=\sqrt[]{(-4-1)^2+(2-3)^2} \\ d=\sqrt[]{(-5)^2+(-1)^2} \\ d=\sqrt[]{25+1} \\ d=\sqrt[]{26} \end{gathered}`

So the distance between P and Q is √26.