Answer:
(0, 1) and (4, 7)
Step-by-step explanation:
We are going to find the equation that satisfy the question.
The equation of a line is: [tex]y=mx+b[/tex], 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.
[tex]4=\frac{3}{2} *2+b[/tex]
[tex]4=3+b\\1=b\\[/tex]
The equation for the line is:
[tex]y=\frac{3}{2} x+1[/tex]
By plugging in the points to see if it is true, we get that only (0,1) and (4,7) are on the line.
