Answer: Option B.
Step-by-step explanation:
The equation of the line in Slope-intercerpt form is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the intersection of the line with the y-axis.
For the graph of the line [tex]f(x)=2x[/tex], you can identify that:
[tex]m=2\\b=0[/tex]
And for [tex]g(x)=2x+3[/tex], you can identify that:
[tex]m=2\\b=3[/tex]
Therefore, you can observe that the slope does not change, but now the line [tex]g(x)=2x+3[/tex] cuts the y-axis at [tex]y=3[/tex]. In other words, it was moved from [tex]y=0[/tex] to [tex]y=3[/tex] (3 units on the y-axis)
Then, it is the graph of [tex]f(x)=2x[/tex] translated 3 units upward, which means that the graph of g(x) is 3 units above the graph of f(x).
