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3.01 Linear functions

Interactive practice questions

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

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A Cartesian coordiante plane, with both the $x$x- and $y$y- axes labeled from -10 to 10 in increments of 2. A line is graphed on the coordinate plane and it passes through points A$\left(0,4\right)$(0,4) and B$\left(1,0\right)$(1,0) as shown in the graph as dots.

 

a

Find the rise (change in the $y$y-value) going from point $A$A to point $B$B.

Note: ensure you have the correct sign.

b

Find the run (change in $x$x-value) going from point $A$A to point $B$B.

Note: ensure you have the correct sign.

c

Find the gradient of the interval $AB$AB.

Easy
1min

What is the gradient of the line going through A and B?

Easy
< 1min

What is the gradient of the line going through A $\left(-1,1\right)$(1,1) and B $\left(5,2\right)$(5,2)?

Easy
1min

Find the gradient of the line that passes through Point A $\left(2,-6\right)$(2,6) and the origin using $m=\frac{\text{rise }}{\text{run }}$m=rise run .

Easy
1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

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