Question

consider the equation and the following ordered pairs: \\((3, y)\\) and \\((x, 1)\\).

\\y = 2x + 3\\

step 2 of 2: plot the resulting set of ordered pairs using your answers from step 1.

drag the dot at the origin to plot one of the ordered pairs on the graph. then, drag the other dot at the origin to plot the other ordered pair.

points can be moved by dragging or using the arrow keys.

Explanation:

Find the first ordered pair

Using the Linear Equations in Two Variables and Evaluating Algebraic Expressions knowledge points, we substitute the given \(x\)-coordinate \(x = 3\) into the equation to find \(y\).

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The first ordered pair is \((3, 9)\).

Find the second ordered pair

Using the Solving Linear Equations knowledge point, we substitute the given \(y\)-coordinate \(y = 1\) into the equation to solve for \(x\).

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The second ordered pair is \((-1, 1)\).

Plot the ordered pairs

Using the Plotting Points knowledge point, we locate each coordinate pair on the Cartesian plane.

• For \((3, 9)\), start at the origin \((0,0)\), move \(3\) units to the right, and \(9\) units up.
• For \((-1, 1)\), start at the origin \((0,0)\), move \(1\) unit to the left, and \(1\) unit up.

Answer:

The resulting ordered pairs to plot on the graph are:

$$(3, 9) \quad \text{and} \quad (-1, 1)$$