Math Problem Statement
Copy and complete the table for the graph of 2x - y = 8. The table includes x-values of -2, -1, 0, 1, and 2, and you need to fill in the corresponding y-values (A, B, and C).
Solution
To complete the table, we can solve for in terms of using the given equation .
-
Rearrange the equation to express :
-
Now, plug in the given values of to find :
-
When :
-
When :
-
When :
Completed table:
-2 | -1 | 0 | 1 | 2 | |
---|---|---|---|---|---|
-12 | -10 | -8 | -6 | -4 |
Let me know if you need more details or have any questions.
Relative questions:
- How do you graph a line using the slope-intercept form?
- What happens to the graph if the equation changes to ?
- Can you explain how to find the slope of the line from the equation ?
- How would you solve the equation for given a value for ?
- What does the intercept mean in this linear equation?
Tip: Always check your rearranged equation to make sure it's in the correct form before substituting values.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Equations
Algebra
Solving for y
Formulas
2x - y = 8
y = 2x - 8
Theorems
Linear equation theory
Suitable Grade Level
Grades 6-8