Type your answer and then click or tap Done.

Find the distance between points K(−1, −3) and L(0, 0). Round to the nearest tenth.

Fill in the blank text field 1

1 answer

To find the distance between points \( K(-1, -3) \) and \( L(0, 0) \), use the distance formula:

\[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Substitute \( (x_1, y_1) = (-1, -3) \) and \( (x_2, y_2) = (0, 0) \):

\[ \text{Distance} = \sqrt{(0 - (-1))^2 + (0 - (-3))^2} \]
\[ \text{Distance} = \sqrt{(0 + 1)^2 + (0 + 3)^2} \]
\[ \text{Distance} = \sqrt{1^2 + 3^2} \]
\[ \text{Distance} = \sqrt{1 + 9} \]
\[ \text{Distance} = \sqrt{10} \]
\[ \text{Distance} \approx 3.2 \]

The distance between points \( K(-1, -3) \) and \( L(0, 0) \) rounded to the nearest tenth is \( \boxed{3.2} \).