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Questions and Answers
What letter is often used to denote slope in mathematics?
What letter is often used to denote slope in mathematics?
- t
- m (correct)
- p
- s
How is slope calculated?
How is slope calculated?
- By taking the average of all y-coordinates
- By finding the ratio of the vertical change to the horizontal change between two distinct points on a line (correct)
- By multiplying the x-coordinate and adding the y-intercept
- By finding the area under the curve
What does a negative 'rise' indicate for a line?
What does a negative 'rise' indicate for a line?
- The line is vertical
- The line is horizontal
- The line is decreasing (correct)
- The line is increasing
How is the steepness, incline, or grade of a line measured?
How is the steepness, incline, or grade of a line measured?
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In the equation $y = mx + b$, what does the letter b represent?
In the equation $y = mx + b$, what does the letter b represent?
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Study Notes
Slope in Mathematics
- The letter "m" is often used to denote slope in mathematics.
Calculating Slope
- Slope is calculated as the ratio of the vertical change (rise) to the horizontal change (run), often represented as rise over run or Δy / Δx.
Negative Rise
- A negative "rise" indicates that the line slopes downward, from left to right.
Measuring Steepness
- The steepness, incline, or grade of a line is measured by its slope (m).
Equation of a Line
- In the equation $y = mx + b$, the letter "b" represents the y-intercept, which is the point at which the line crosses the y-axis.
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