Question

find the distance between the two points rounding to the nearest tenth (if necessary). (8, 9) and (-1, -3) answer attempt 1 out of 2

Explanation:

Step1: Recall the distance formula

The distance \( d \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \).
Here, \( x_1 = 8,y_1 = 9,x_2=- 1,y_2=-3 \).

Step2: Substitute the values into the formula

First, calculate \( x_2 - x_1=-1 - 8=-9 \) and \( y_2 - y_1=-3 - 9=-12 \).
Then, find the squares: \((x_2 - x_1)^2=(-9)^2 = 81\) and \((y_2 - y_1)^2=(-12)^2 = 144\).
Add these squares: \(81 + 144=225\).
Take the square root: \(d=\sqrt{225}=15\).

Answer:

15