Math Problem Statement
complete the table of values for the equation y=x+5. then choose a suitable scale and draw the graph.
Solution
To complete the table of values for the equation , we select a range of -values and compute the corresponding -values. Here's the completed table for a few values:
-3 | 2 |
-2 | 3 |
-1 | 4 |
0 | 5 |
1 | 6 |
2 | 7 |
3 | 8 |
Graphing the Equation
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Choose a Scale: Since the values of range from 2 to 8 and from -3 to 3, a suitable scale might be 1 unit per square for both and .
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Plot Points: Using the table, plot each point (e.g., (-3, 2), (-2, 3), ..., (3, 8)) on a coordinate plane.
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Draw the Line: Connect the points with a straight line, as the equation represents a linear function.
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Label the Graph: Clearly label the axes and mark the equation on the graph.
If you'd like, I can provide a digital graph of this equation. Let me know if you want details on the graphing process or have any questions!
Related Questions
- What is the slope of the line ?
- How would the graph change if the equation was ?
- What is the -intercept of the equation ?
- How can you determine if a point is on the line ?
- What is the inverse function of ?
Tip: For any linear equation , represents the slope and the -intercept, making it easy to graph directly.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graphing
Coordinate Geometry
Formulas
y = x + 5
Theorems
Linear Equation Graphing Theorem
Slope-Intercept Form
Suitable Grade Level
Grades 6-8