Math Problem Statement
Copy and complete the table for the graph y = -2x - 1. What values should replace A, B, and C?
Solution
The equation provided is . You are asked to complete the table with missing values for corresponding to different values of .
Let's substitute the given values into the equation to find the missing values:
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For : So the value for when is 3, which matches the table.
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For (finding A): So, .
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For (finding B): So, .
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For : This matches the table.
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For (finding C): So, .
The completed table is:
x & -2 & -1 & 0 & 1 & 2 \\ \hline y & 3 & 1 & -1 & -3 & -5 \\ \end{array}$$ Do you want any further details or clarifications? Here are five related questions to deepen your understanding: 1. What is the slope of the graph $$y = -2x - 1$$? 2. How would you graph this equation based on the table of values? 3. What is the y-intercept of the equation $$y = -2x - 1$$? 4. How does changing the slope affect the graph of a line? 5. What happens to the graph if the constant term changes from $$-1$$ to a different value? **Tip**: The slope of the equation tells you how much $$y$$ changes for each unit change in $$x$$.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Substitution
Graphing
Formulas
y = mx + b
Substitution for different x values
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 6-8