QQuestionMathematics
QuestionMathematics
What slope is parallel to m = \frac{3}{4}
0 \frac{4}{3}
0 \frac{3}{4}
0 \frac{3}{4}
0 \frac{4}{3}
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Answer
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Step 1:I'll solve this step-by-step, following the LaTeX formatting guidelines precisely:
Step 2:: Understand Parallel Line Slopes
- The given slope is $$m = \frac{3}{4}
- Two lines are parallel if and only if they have the same slope - For parallel lines, the slopes must be equal
Step 3:: Identify Parallel Slope Characteristics
- A line parallel to $$\frac{3}{4}$$ must have the exact same slope
- This means the parallel line's slope will also be \frac{3}{4}
Step 4:: Examine Answer Choices
- The choices are $$0$$, $$\frac{4}{3}$$, and $$\frac{3}{4}
- Only \frac{3}{4} matches the original slope
Step 5:: Verify Slope Equality
- $$\frac{3}{4} = \frac{3}{4}$$ ✓
Final Answer
\frac{3}{4} is the slope parallel to the original slope \frac{3}{4}.
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