Parameters of a Linear Equation

y=mx+b
Question 1
What does 'm' represent in the equation y=mx+b?
Question 2
What does 'b' represent in the equation y=mx+b?
Question 3
What happens to the line as you increase the value of 'm' from 0 to 5? * use the slider to change m on the diagram *
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Question 4
What happens to the line as you decrease the value of 'm' from 0 to -5? * use the slider to change m on the diagram *
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Question 5
What is the difference between the gradients in questions 3 and 4?
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Question 6
What happens to the line as you change the value of 'b'?
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Question 7
Write down the equation of the line with a gradient of 3 and a y-intercept of 5.
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Question 8
Write down the equation of the line with a gradient of -2 and a y-intercept of 9.
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Question 9
Write down the equation of the line with a gradient of and a y-intercept of -3.
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Question 10
Make the equation y=-2.5x-4 on the graph above using the sliders. Using the graph you have created, give a rough approximation of x-intercept.
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– Justine Maroun, Steve Phelps

Information: Parameters of a Linear Equation