Parameters of a Linear Equation
y=mx+b
Question 1
What does 'm' represent in the equation y=mx+b?[br]
y-intercept
gradient of the line
mid-point
x-intercept
Question 2
What does 'b' represent in the equation y=mx+b?[br]
y-intercept
mid-point
gradient of the line
x-intercept
Question 3
What happens to the line as you increase the value of 'm' from 0 to 5?[br]* use the slider to change m on the diagram *
the gradient of the line gets steeper
Question 4
What happens to the line as you decrease the value of 'm' from 0 to -5?[br]* use the slider to change m on the diagram *
the gradient of the line gets steeper
Question 5
What is the difference between the gradients in questions 3 and 4?
the gradient in question 3 is positive but the gradient in question 4 is negative
Question 6
What happens to the line as you change the value of 'b'?
For positive b- the line moves up [br]For negative b- the live moves down
Question 7
Write down the equation of the line with a gradient of 3 and a y-intercept of 5.
y= 3x+5
Question 8
Write down the equation of the line with a gradient of -2 and a y-intercept of 9.
y=-2x+9
Question 9
Write down the equation of the line with a gradient of [math]\frac{-3}{2}[/math] and a y-intercept of -3.
y=-3/2x-3
Question 10
Make the equation y=-2.5x-4 on the graph above using the sliders. [br]Using the graph you have created, give a rough approximation of x-intercept.
-1.7
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Information: Parameters of a Linear Equation