Question

question
find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,5) and (-9,-7)

Explanation:

Step1: Identify the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-4,y_1 = 5,x_2=-9,y_2=-7$.

Step2: Calculate the differences

$x_2 - x_1=-9-(-4)=-9 + 4=-5$, $y_2 - y_1=-7 - 5=-12$.

Step3: Square the differences

$(x_2 - x_1)^2=(-5)^2 = 25$, $(y_2 - y_1)^2=(-12)^2=144$.

Step4: Sum the squared - differences

$(x_2 - x_1)^2+(y_2 - y_1)^2=25 + 144=169$.

Step5: Calculate the square - root

$d=\sqrt{169}=13$.

Answer:

13