Problem

Given the linear equation \(y = 2x + 3\), generate a table of values and use it to graph the equation.

Answer

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Answer

Step 3: Plot these points on a graph and draw a line through them.

Steps

Step 1 ：Step 1: Choose some values for \(x\) and substitute them into the equation to find the corresponding \(y\) values.

Step 2 ：For \(x = -1\), \(y = 2(-1) + 3 = 1\)

Step 3 ：For \(x = 0\), \(y = 2(0) + 3 = 3\)

Step 4 ：For \(x = 1\), \(y = 2(1) + 3 = 5\)

Step 5 ：Step 2: Form a table of values with these pairs \((-1, 1), (0, 3), (1, 5)\)

Step 6 ：Step 3: Plot these points on a graph and draw a line through them.

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