Math Problem Statement
Use the equation y = x to complete the table and graph the equation.
Solution
The equation provided is , meaning that for every value of , the corresponding value of will be the same. Let's complete the table:
\hline x & y \\ \hline 0 & 0 \\ 1 & 1 \\ 2 & 2 \\ 3 & 3 \\ \hline \end{array}$$ Now, you can plot these points on the graph. The points to plot will be: - (0, 0) - (1, 1) - (2, 2) - (3, 3) These points will form a straight line with a slope of 1, because the equation $$y = x$$ represents a line with slope 1 through the origin. Would you like any further details, or have any questions? Here are 5 related questions to expand on this concept: 1. How would the table change if the equation was $$y = 2x$$? 2. What is the slope of the line $$y = x$$ and what does it represent? 3. How would you graph the equation if it was $$y = x + 1$$? 4. What is the general form of a linear equation and how does $$y = x$$ fit into it? 5. How can you find the intersection of two lines on a graph? **Tip:** When graphing linear equations, always check if the line passes through the origin by plugging $$x = 0$$ into the equation!Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
y = x
Theorems
Slope-Intercept Form
Proportional Relationships
Suitable Grade Level
Grades 6-8