Math Problem Statement

For the equation x - y = 4, find three ordered pair solutions by completing the table, then use any two of the ordered pairs to graph the equation.

Solution

The task is asking to solve the equation xy=4x - y = 4 by finding three ordered pairs and graphing them. Let's work through it.

Step 1: Rearrange the equation

The equation is xy=4x - y = 4. Rearranging it for yy, we get: y=x4y = x - 4 This will allow us to substitute values of xx to get corresponding values of yy.

Step 2: Complete the table

You are given some values for xx in the table and are asked to find corresponding yy-values using the equation y=x4y = x - 4.

For x=5x = 5:

y=54=1y = 5 - 4 = 1

For x=2x = 2:

y=24=2y = 2 - 4 = -2

For x=0x = 0:

y=04=4y = 0 - 4 = -4

So the completed table will look like this:

\hline x & y \\ \hline 5 & 1 \\ 2 & -2 \\ 0 & -4 \\ \hline \end{array}$$ ### Step 3: Plot the points on the graph The points you will plot are: 1. $$(5, 1)$$ 2. $$(2, -2)$$ 3. $$(0, -4)$$ Use these points to graph the line $$x - y = 4$$. Would you like further details or help with plotting the graph? ### 5 Related Questions: 1. What are the steps to graph a line using a table of values? 2. How do you rearrange equations to isolate a variable? 3. What is the importance of ordered pairs in graphing linear equations? 4. How do you determine the slope of a line from two points? 5. What other methods can be used to graph an equation without a table of values? ### Tip: When graphing, you can always check that your line is correct by choosing additional points to verify if they satisfy the equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

y = x - 4

Theorems

Linear Equation Graphing

Suitable Grade Level

Grade 7-9