Given the line L.
As shown the line passes through the points (0, 0) and (4, 5)
So, the slope of the line =
[tex]m=\frac{5-0}{4-0}=\frac{5}{4}[/tex]
The equation of the line will be:
[tex]y=\frac{5}{4}x[/tex]
We will check which point is located on the line L
As we can see from the equation the ratio of y/x = 5/4
So, we will find the ratio of y/x for the given points
[tex]\begin{gathered} (20,25)\rightarrow\frac{y}{x}=\frac{25}{20}=\frac{5}{4} \\ \\ (22,27)\rightarrow\frac{y}{x}=\frac{27}{22} \\ \\ (15,18)\rightarrow\frac{y}{x}=\frac{18}{15}=\frac{6}{5} \end{gathered}[/tex]
From the previous results, the answer will be:
The point that is located on the line is (20, 25)
