Find the distance between the points \( (-9,-4) \) and \( (-4,8) \).
Round decimals to the nearest tenth.
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3. Calculate the distance: \( d = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 \)

Steps

Step 1 ：1. Find the differences in x-coordinates and y-coordinates: \( \Delta x = -4 -(-9) = 5 \), \( \Delta y = 8 -(-4) = 12 \)

Step 2 ：2. Apply the distance formula: \( d = \sqrt{(\Delta x)^2 + (\Delta y)^2} \)

Step 3 ：3. Calculate the distance: \( d = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 \)