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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
For a linear equation in the form $$y = mx + b$$, the coefficient of $$x$$ represents the slope.
In this equation, m is the slope.
Step 3:: Identify the Components of the Equation
- The constant term is $$-1
- The coefficient of x is 5
Step 4:: Determine the Slope
By comparing the equation to the standard form $$y = mx + b$$, we can see that:
m = 5
Step 5:: Verify the Slope
- A slope of $$5$$ means for every 1 unit moved horizontally, the line rises 5 units vertically
The slope tells us how steep the line is and its direction: - The positive slope indicates the line rises from left to right
Final Answer
The slope of y = 5x - 1 is 5.
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