Podcast
Questions and Answers
Which letter is often used to denote slope?
Which letter is often used to denote slope?
- m (correct)
- c
- b
- a
How is slope calculated?
How is slope calculated?
- Finding the ratio of the vertical change to the horizontal change (correct)
- Finding the difference between the y-coordinates
- Finding the difference between the x-coordinates
- Finding the sum of the vertical change and the horizontal change
What does a negative slope indicate?
What does a negative slope indicate?
- The line is horizontal
- The line is vertical
- 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?
What is the equation of a straight line often written as?
What is the equation of a straight line often written as?
Study Notes
Slope
- The letter 'm' is often used to denote slope.
- Slope is calculated by dividing the vertical change (rise) by the horizontal change (run), i.e., m = rise/run or m = Δy/Δx.
- A negative slope indicates a downward slope, meaning as the input (x) increases, the output (y) decreases.
Measuring Steepness
- The steepness, incline, or grade of a line is measured by its slope (m).
Equation of a Straight Line
- The equation of a straight line is often written in the slope-intercept form, which is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.
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Description
Test your knowledge of slope and gradients in mathematics with this quiz. Learn about the concepts of direction and steepness of lines and explore the equation "y = mx + b". Challenge yourself and see how well you understand this fundamental topic in math.