There are two ways to solve this:
- Test the 2 points in each equation and see which one satisfy both points.
- Find the equation of the line that passes through this 2 points.
We will do the later.
We have a proportional relationship, because the point (0,0) is part of the line.
That indicates that the y-intercept (the value of y when x=0) is 0.
Then, options B and C are discarded.
We can find the slope of a proportional relationship as:
[tex]m=\frac{y}{x}=\frac{12}{3}=4[/tex]As the slope is m=4, the equation of the line is:
[tex]y=4x[/tex]That satisfy (0,0) and (3,12).
Answer: y=4x (Option D).
