Question

1. find the distance between the two points. use graph paper if necessary. round to the nearest tenth. (4, -2) and (-3, 1)

Explanation:

Step1: Recall distance formula

The distance $d$ between points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step2: Assign coordinate values

Let $(x_1,y_1)=(4,-2)$ and $(x_2,y_2)=(-3,1)$

Step3: Substitute into formula

$d=\sqrt{(-3-4)^2+(1-(-2))^2}$

Step4: Simplify inside the root

$d=\sqrt{(-7)^2+(3)^2}=\sqrt{49+9}=\sqrt{58}$

Step5: Calculate and round

$\sqrt{58}\approx7.6$

Answer:

7.6