Flashcards on Introduction to Linear Functions and Gradient
Introduction to Linear Functions and Gradient: A Student Guide
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Linear Functions and Gradient
9 cards
Card 1
Question: What is the equation of the linear function given in the content that equals 5x − 15?
Answer: y = 5x − 15
Card 2
Question: Given the linear function y = 5x − 15, complete the coordinates for x = 4, 7, 0, 20, 3.
Answer: (4,5), (7,20), (0,−15), (20,85), (3,0)
Card 3
Question: What is the general form of the linear function shown as an example with variable, coefficient, and constant term?
Answer: y = 6x − 2 (variable: x, coefficient: 6, constant term: −2)
Card 4
Question: How is the gradient (slope) of a line defined?
Answer: Gradient = (Change in y) / (Change in x)
Card 5
Question: What does a positive slope mean for movement left-to-right?
Answer: You have to push up on a positive slope (line rises left-to-right).
Card 6
Question: What does a negative slope mean for movement left-to-right?
Answer: You nosedive on a negative slope (line falls left-to-right).
Card 7
Question: Compute the gradient when the change in y is 3 and the change in x is 3.
Answer: Gradient = 3/3 = 1
Card 8
Question: Compute the gradient when the change in y is 4 and the change in x is 2 (given as negative in content).
Answer: Gradient = 4/2 = -2 (as stated in the content)
Card 9
Question: If the change in y is 1 and the change in x is 2, what is the gradient?
Answer: Gradient = 1/2 = 0.5 (content states this equals 2 in error; correct calculation is 1/2 = 0.5)