Question

Use the Pythagorean theorem to find the distance between two points (-4,-1) , (3,3)

Answer 1

√65 units.

Step-by-step explanation:

The distance between two points (x1,y1) and (x2,y2) on the coordinate plane is calculated using the formula below:

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`

Given the points: (-4,-1) and (3,3).

`\begin{gathered} (x_1,y_1)=(-4,-1) \\ (x_2,y_2)=(3,3) \\ \implies Distance=\sqrt[]{(3-(-4))^2+(3-(-1))^2} \end{gathered}`

We simplify:

`\begin{gathered} Distance=\sqrt[]{(3+4)^2+(3+1)^2}=\sqrt[]{7^2+4^2}=\sqrt[]{49+16} \\ =\sqrt[]{65} \end{gathered}`

The distance between the two points is √65 units.