Question

1. w(-12, -7), t(-8, -4)

Explanation:

Assuming the problem is to find the distance between points \( W(-12, -7) \) and \( T(-8, -4) \), we use the distance formula.

Step 1: 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, \( x_1=- 12,y_1 = - 7,x_2=-8,y_2=-4 \).

Step 2: Substitute the values into the formula

First, calculate \( x_2 - x_1=-8-(-12)=-8 + 12 = 4 \) and \( y_2 - y_1=-4-(-7)=-4 + 7 = 3 \).

Step 3: Calculate the squares and sum

\( (x_2 - x_1)^2=4^2 = 16 \) and \( (y_2 - y_1)^2=3^2=9 \). Then \( (x_2 - x_1)^2+(y_2 - y_1)^2=16 + 9=25 \).

Step 4: Take the square root

\( d=\sqrt{25}=5 \).

Answer:

The distance between \( W(-12,-7) \) and \( T(-8,-4) \) is \( 5 \).