Slope
Definition
The slope refers to the steepness of a line. It measures how much a line rises or falls for every unit it moves horizontally.
Analogy
Think of the slope as the speed at which you climb a hill. A steeper slope means you're climbing faster, while a gentler slope means you're climbing slower.
Related terms
Rate of Change: This term refers to how quickly one quantity changes in relation to another.
Gradient: The gradient is another word for slope and represents the change in vertical distance divided by the change in horizontal distance.
Positive/Negative Slope: Positive slope indicates an upward direction, while negative slope indicates a downward direction.
"Slope" appears in:
Study guides (3)
Practice Questions (4)
What happens to the slope of the line connecting two points on a function as the points get closer and closer together?
A curve has slope 3x^2 +2x+ 11 at every point (x, y) on the curve. What is an equation for this curve if y=15 when x=0?
A curve has slope 2x + 9 at each point (x, y) on the curve. Which of the following is an equation for this curve if it passes through the point (0, 8)?
For an inital x =1, inital y = 3, slope = 4 and step size of 3, calculate the change in y for the first iteration of Euler's method.
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