Problem

Ex. 1 Graph the equation $y=2 x+3$

Answer

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Answer

\(\boxed{\text{The graph of the equation } y = 2x + 3 \text{ passes through the points } (-2, -1), (0, 3), \text{ and } (2, 7)}\)

Steps

Step 1 ：Choose some values for x and calculate the corresponding values for y. Let's choose x = -2, 0, 2.

Step 2 ：Calculate the y values using the equation y = 2x + 3.

Step 3 ：y_values = [(-2) * 2 + 3, 0 * 2 + 3, 2 * 2 + 3] = [-1, 3, 7]

Step 4 ：Combine the x and y values to form points: (-2, -1), (0, 3), (2, 7)

Step 5 ：Plot the points on a coordinate plane and connect them to form a straight line.

Step 6 ：\(\boxed{\text{The graph of the equation } y = 2x + 3 \text{ passes through the points } (-2, -1), (0, 3), \text{ and } (2, 7)}\)

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