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 by finding three ordered pairs and graphing them. Let's work through it.
Step 1: Rearrange the equation
The equation is . Rearranging it for , we get: This will allow us to substitute values of to get corresponding values of .
Step 2: Complete the table
You are given some values for in the table and are asked to find corresponding -values using the equation .
For :
For :
For :
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.Ask a new question for Free
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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