It looks like you've uploaded an image with a coordinate plane and two points:
(5, 1) and
(2, 4).
Since the image shows a graph but no explicit question is written, I’ll assume the task is to
find the distance between these two points — a common problem when given two coordinates on a coordinate plane.
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🔷 Step 1: Use the Distance Formula
The distance $ d $ between two points $ (x_1, y_1) $ and $ (x_2, y_2) $ is:
$$
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
$$
Let:
- $ (x_1, y_1) = (5, 1) $
- $ (x_2, y_2) = (2, 4) $
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🔷 Step 2: Plug into the formula
$$
d = \sqrt{(2 - 5)^2 + (4 - 1)^2}
$$
$$
d = \sqrt{(-3)^2 + (3)^2}
$$
$$
d = \sqrt{9 + 9} = \sqrt{18}
$$
$$
d = \sqrt{18} = \sqrt{9 \cdot 2} = 3\sqrt{2}
$$
---
✔ Final Answer:
$$
\boxed{3\sqrt{2}} \text{ units}
$$
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📌 Explanation:
We used the distance formula based on the Pythagorean Theorem. The horizontal change is $ 2 - 5 = -3 $, and the vertical change is $ 4 - 1 = 3 $. These form the legs of a right triangle, and the distance is the hypotenuse.
If you had a different task in mind (like finding the midpoint, slope, or plotting the points), please clarify and I’ll adjust the solution!
Parent Tip: Review the logic above to help your child master the concept of algebra slope worksheet.
