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4.03 Linear functions

Interactive practice questions

Consider the interval shown in the graph with Point A $\left(0,-2\right)$(0,2) and Point B $\left(3,2\right)$(3,2)

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A line is graphed in the Cartesian coordinate plane with a positive slope. This line passes through points $\left(0,-2\right)$(0,2) and $\left(3,2\right)$(3,2).
a

Find the rise (change in the $y$y value) between point A and B. Note: Ensure you have the correct sign.

b

Find the run (change in the $x$x value) between point A and B. Note: Ensure you have the correct sign.

c

Find the gradient of the interval AB.

Easy
1min

Consider the interval containing Point $A$A $\left(0,4\right)$(0,4) and Point $B$B $\left(1,0\right)$(1,0)

Easy
1min

Consider the straight line that passes through the points $A$A, $B$B, $C$C and $D$D.

Easy
3min

What is the gradient of the line shown in the graph, given that Point A $\left(3,3\right)$(3,3) and Point B $\left(6,5\right)$(6,5) both lie on the line?

Easy
1min
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Outcomes

3.3.7

identify the rate of change of the dependent variable, relating it to the difference pattern in a table and the slope of an associated line drawn from practical contexts

3.3.8

determine and describe the significance of the vertical intercept in practical situations

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