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Let's start by drawing the graph and mark the $x$-coordinates of the points $A$ and $B.$

We can see that there are $4$ units between the $x$-coordinates making $Δx=4.$ We can also calculate the change in $x$ using the relationship $Δx=x_{2}−x_{1}.$ In the same way we determine the change in the $y$-direction, $Δy,$ by finding the vertical distance between the points $A$ and $B.$ We can see that the vertical distance between the points is $2$ giving us $Δy=2.$ We can also insert the $y$-values in the formula $Δy=y_{2}−y_{1}.$ The answer is that the change in the $x$-direction, $Δx,$ is $4$ and the change in the $y$-direction, $Δy,$ is $2$. b