QQuestionMathematics
QuestionMathematics
Which is the graph of y ≤ 1 – 3x?
| 2 | 4 |
| --- | --- |
| 3 | 2 |
| 4 | 1 |
| 5 | 0 |
| 6 | 0 |
| 7 | 0 |
| 8 | 0 |
| 9 | 0 |
| 10 | 0 |
| 11 | 0 |
| 12 | 0 |
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Answer
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Step 1:I'll solve this step by step, carefully following the LaTeX formatting guidelines:
Step 2:: Understand the Inequality
- The inequality sign $$\leq$$ means the solution includes the line and the region below it
- The line has a slope of - 3
Step 3:: Rearrange the Equation to Slope-Intercept Form
y = -3x + 1
Step 4:: Identify Key Points
x = \frac{1}{3}
- x-intercept: Found by setting y = 0
Step 5:: Determine Shading Direction
Since the inequality is $$y \leq 1 - 3x$$, we shade the region below and including the line.
Step 6:: Graphing Characteristics
- Uses a solid line (because of $$\leq$$)
- Shading is below the line
Final Answer
The graph will be a line with slope - 3, passing through (0, 1), with the entire region below the line shaded.
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