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

if the y intercept of Function R is 32 greater than the y intercept of Function J which equation could represent Function R A y x 45 B y 05 3 C y 3 05 D y 45 1 class=

Respuesta :

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