Question

find the distance between the points (1, -3) and (6, -8). if necessary, round your answer to the nearest tenth. units

Explanation:

Step1: Identify the distance - formula

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

Step2: Substitute the given points

Let $(x_1,y_1)=(1, - 3)$ and $(x_2,y_2)=(6, - 8)$. Then $x_2 - x_1=6 - 1 = 5$ and $y_2 - y_1=-8-( - 3)=-8 + 3=-5$.

Step3: Calculate the value inside the square - root

$(x_2 - x_1)^2+(y_2 - y_1)^2=5^2+( - 5)^2=25 + 25=50$.

Step4: Calculate the distance

$d=\sqrt{50}\approx7.1$ (rounded to the nearest tenth).

Answer:

$7.1$