We have a table of values that shows the ages of two individuals. The data can be written out as an ordered pair as follows;
[tex]\begin{gathered} (4,8),(8,12),(12,16) \\ \text{Where Ann's age is x and Tom's age is y} \\ \text{The slope m is derived below;} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{12-8}{8-4} \\ m=\frac{4}{4} \\ m=1 \\ We\text{ can now insert the known values, x, y and m} \\ y=mx+b \\ \text{This becomes;} \\ 8=1(4)+b \\ 8=4+b \\ 8-4=b \\ b=4 \\ \text{The equation } \\ y=mx+b \\ Is\text{ now expressed as,} \\ y=(1)x+4 \\ y=x+4 \end{gathered}[/tex]The equation is now represented on a graph as shown;
