Given the linear equation;
[tex]y=\frac{1}{5}x+5[/tex]The points on the graph given the x values are as follows;
[tex]\begin{gathered} When\text{ x=4, then} \\ y=\frac{1}{5}(4)+5 \\ y=\frac{4}{5}+5 \\ y=5\frac{4}{5} \\ y=5.8 \\ (4,5.8) \end{gathered}[/tex][tex]\begin{gathered} \text{When x=5, then} \\ y=\frac{1}{5}(5)+5 \\ y=1+5 \\ y=6 \\ (5,6) \end{gathered}[/tex][tex]\begin{gathered} \text{When x=6} \\ y=\frac{1}{5}(6)+5 \\ y=\frac{6}{5}+5 \\ y=1\frac{1}{5}+5 \\ y=6\frac{1}{5} \\ y=6.2 \\ (6,6.2) \end{gathered}[/tex][tex]\begin{gathered} \text{When x=7, then} \\ y=\frac{1}{5}(7)+5 \\ y=\frac{7}{5}+5 \\ y=1\frac{2}{5}+5 \\ y=6\frac{2}{5} \\ y=6.4 \\ (7,6.4) \end{gathered}[/tex][tex]\begin{gathered} \text{When x=8, then} \\ y=\frac{1}{5}(8)+5 \\ y=\frac{8}{5}+5 \\ y=1\frac{3}{5}+5 \\ y=6\frac{3}{5} \\ y=6.6 \\ (8,6.6) \end{gathered}[/tex][tex]\begin{gathered} \text{When x=9, then} \\ y=\frac{1}{5}x+5 \\ y=\frac{1}{5}(9)+5 \\ y=\frac{9}{5}+5 \\ y=1\frac{4}{5}+5 \\ y=6\frac{4}{5} \\ y=6.8 \\ (9,6.8) \end{gathered}[/tex][tex]\begin{gathered} \text{When x=10} \\ y=\frac{1}{5}x+5 \\ y=\frac{1}{5}(10)+5 \\ y=2+5 \\ y=7 \\ (10,7) \end{gathered}[/tex]The points on the line
[tex]y=\frac{1}{5}x+5[/tex]have been calculated above.
Two points on this line are shown below;
The attachment above shows two points which are;
[tex]\begin{gathered} (4,5.8) \\ (10,7) \end{gathered}[/tex]
