Question

Find the distance between the points$P=(1,3)andQ=(-4,2)$

Short answer

The distance between the points is$\sqrt{26}$units.

Step-by-step solution

Step 1. Given Information

The given points are$P=(1,3)andQ=(-4,2)$

Step 2. Calculation

Use the distance formula to find the distance between the two points.

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