Question

find the distance between the points on the graph.
o $sqrt{17}$
o $sqrt{7}$
o $sqrt{15}$
o $sqrt{29}$

Explanation:

Step1: Identify the points

The two points are $(-2, 3)$ and $(3, 1)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1=-2,y_1 = 3,x_2=3,y_2 = 1$. So $d=\sqrt{(3-(-2))^2+(1 - 3)^2}=\sqrt{(3 + 2)^2+( - 2)^2}=\sqrt{5^2+(-2)^2}=\sqrt{25 + 4}=\sqrt{29}$.

Answer:

$\sqrt{29}$