if the y intercept of Function R is 3/2 greater than the y intercept of Function J, which equation could represent Function R? A. y= -x + 4.5 B. y= 0.5× + 3 C. y= 3× + 0.5 D. y= 4.5× - 1

Answer:
The answer is the option C
[tex]y=3x+0.5[/tex]
Step-by-step explanation:
I will assume that the equation of the line in the figure is the function J
Let
R------> the y-intercept of the function R
J------> the y-intercept of the function J
we know that
[tex]R=(3/2)+J[/tex] ------> equation A
Observing the graph, the y-intercept of function J is equal to
[tex]J=-1[/tex] -----> equation B
Substitute equation B in equation A
[tex]R=(3/2)+(-1)[/tex]
[tex]R=0.5[/tex]
so
The y-intercept of the function R must be equal to [tex]0.5[/tex]
therefore
The equation [tex]y=3x+0.5[/tex] could represent Function R