Question

find the distance between the two points rounding to the nearest tenth (if necessary). (-6,0) and (-1,4)

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: Assign the values of the points

Let $(x_1,y_1)=(-6,0)$ and $(x_2,y_2)=(-1,4)$. Then $x_2 - x_1=-1-(-6)=5$ and $y_2 - y_1 = 4 - 0=4$.

Step3: Substitute into the formula

$d=\sqrt{(5)^2+(4)^2}=\sqrt{25 + 16}=\sqrt{41}$.

Step4: Calculate and round

$\sqrt{41}\approx6.4$.

Answer:

$6.4$