Math Problem Statement
Fill in the table and graph the equation y = 3x - 1.
Solution
The image you've uploaded contains a linear equation , a table with columns for and , and a graph with axes prepared for plotting points.
Here’s how we can proceed:
Step 1: Fill the table
We will substitute different values for into the equation and compute the corresponding values of .
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If : So, is one point.
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If : So, is another point.
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If : So, is another point.
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If : So, is another point.
The table would be:
\hline x & y \\ \hline -1 & -4 \\ 0 & -1 \\ 1 & 2 \\ 2 & 5 \\ \hline \end{array}$$ ### Step 2: Plot the points on the graph Now, using the points $$(-1, -4)$$, $$(0, -1)$$, $$(1, 2)$$, and $$(2, 5)$$, you can plot them on the graph. After plotting, connect the points to form a straight line, since the equation is linear. Would you like more details on how to plot the points, or do you have any other questions? Here are 5 questions related to this concept: 1. What is the slope of the line represented by the equation $$y = 3x - 1$$? 2. How does the slope affect the steepness of the line? 3. What is the y-intercept in the equation $$y = 3x - 1$$, and how can we find it? 4. How do we know that this equation represents a linear function? 5. What would happen to the graph if the equation were $$y = -3x - 1$$? **Tip:** When graphing a linear equation, always start by plotting the y-intercept and use the slope to find other points.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graphing
Formulas
y = mx + b (Slope-Intercept Form)
Theorems
Slope-Intercept Form of a Line
Suitable Grade Level
Grades 7-9