Math Problem Statement
Complete the table for the equation x + 2y = 6, and graph the equation.
Solution
The image shows a table that corresponds to the equation , with a request to complete the table and graph the equation.
The table has two entries:
- When , is provided.
- When , we need to find .
Let's solve for when :
Given the equation:
Substitute :
Now, we can complete the table:
- When , (already given).
- When , .
The completed table looks like this:
\hline x & y \\ \hline 0 & 3 \\ 6 & 0 \\ \hline \end{array}$$ For the graph, you can plot the points $$(0, 3)$$ and $$(6, 0)$$, and draw a straight line through these points to represent the equation. Would you like more details or have any questions about this? Here are 5 related questions you might want to explore: 1. How do you determine the slope of a line from two points? 2. What are the intercepts of the line, and what do they represent? 3. How would you rewrite the equation $$x + 2y = 6$$ in slope-intercept form? 4. What is the significance of solving for $$y$$ when $$x = 0$$ and vice versa? 5. How can you use a graph to verify the solution of an equation? **Tip**: When graphing linear equations, always find at least two points and draw a line through them. This ensures accuracy when representing the equation visually.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graphing
Formulas
x + 2y = 6
Theorems
Linear equation theory
Suitable Grade Level
Grades 6-8