Question

Line L is shown in the coordinate plane. which of the following is located on line L

Answer 1

Given the line L.

As shown the line passes through the points (0, 0) and (4, 5)

So, the slope of the line =

`m=(5-0)/(4-0)=(5)/(4)`

The equation of the line will be:

`y=(5)/(4)x`

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

`\begin{gathered} (20,25)\rightarrow(y)/(x)=(25)/(20)=(5)/(4) \\ \\ (22,27)\rightarrow(y)/(x)=(27)/(22) \\ \\ (15,18)\rightarrow(y)/(x)=(18)/(15)=(6)/(5) \end{gathered}`

From the previous results, the answer will be:

The point that is located on the line is (20, 25)