Problem

Which points are solutions to the equation $y=5 x+$ 2?

Answer

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Answer

Final Answer: The points that are solutions to the equation \(y=5x+2\) are \(\boxed{(-2, -8), (-1, -3), (0, 2), (1, 7), (2, 12)}\).

Steps

Step 1 :The question is asking for the points that satisfy the equation \(y=5x+2\). This is a linear equation, and any point \((x, y)\) that satisfies this equation is a solution.

Step 2 :To find the solutions, we can choose some values for \(x\) and calculate the corresponding \(y\) values. Let's choose \(x\) values from -2 to 2.

Step 3 :By substituting the \(x\) values into the equation, we get the following solutions: \((-2, -8), (-1, -3), (0, 2), (1, 7), (2, 12)\).

Step 4 :Final Answer: The points that are solutions to the equation \(y=5x+2\) are \(\boxed{(-2, -8), (-1, -3), (0, 2), (1, 7), (2, 12)}\).

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