Answer:
(0, 1) and (4, 7)
Explanation:
We are going to find the equation that satisfy the question.
The equation of a line is:
, where m is the slope and b is the y-intercept.
The problem gives us the slope and a point the line passes through.
In order to find b, we plug in the given point (2,4) and solve.
![4=(3)/(2) *2+b](https://img.qammunity.org/2022/formulas/mathematics/college/5dycg8viifvx0fjxycqd75afjz7urdg4wp.png)
![4=3+b\\1=b\\](https://img.qammunity.org/2022/formulas/mathematics/college/mdjnr38cebj9yt0i6jkd0utnjhcfghz2bb.png)
The equation for the line is:
![y=(3)/(2) x+1](https://img.qammunity.org/2022/formulas/mathematics/college/qpy39v54n6ku7nrod23nv8iwa2mxce3unr.png)
By plugging in the points to see if it is true, we get that only (0,1) and (4,7) are on the line.