Slope and Gradients Quiz

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Questions and Answers

Which letter is often used to denote slope?

  • m (correct)
  • c
  • b
  • a

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?

  • 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?

<p>By the absolute value of the slope (B)</p> Signup and view all the answers

What is the equation of a straight line often written as?

<p>y = mx + c (D)</p> Signup and view all the answers

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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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