QQuestionMathematics
QuestionMathematics
Find the slope of the line y= 5x+ 12.
Write your answer as an integer or as a simplified proper or improper fraction.
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Answer
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Step 1:I'll solve this step-by-step using the precise LaTeX formatting guidelines:
Step 2:: Recall the Slope Formula
The slope of a line in the standard form $$y = mx + b$$ is represented by the coefficient of $$x$$, which is $$m$$.
Step 3:: Identify the Components
- The $$y$$-intercept is $$12
- The coefficient of x is 5
Step 4:: Determine the Slope
The slope is simply the coefficient of $$x$$, which is $$5$$.
Final Answer
Key Insights: - In the equation y = mx + b, m represents the slope - The slope tells us how steep the line is - A positive slope (like 5) means the line rises from left to right - In this case, for every 1 unit moved horizontally, the line rises 5 units vertically
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