Answer:
The functions have the same y-intercept.
OPTION C is correct.
Step-by-step explanation:
DEFINITIONS AND FORMULAS
The equation of a linear graph is given to be:
[tex]y=mx+b[/tex]
Where m is the slope of the graph and b is the y-intercept.
To calculate the slope given a table, we can use the formula:
[tex]m=\frac{y^{2}-y^{1} }{{}x^2 -x^1}[/tex]
SOLUTION
Function 1: The equation of the graph is given to be
[tex]p=-\frac{3}{2}r-5[/tex]
Therefore, the y-intercept of the graph is given to be:
[tex]b=-5[/tex]
Function 2: Recall that the y-intercept of a graph is the y-value when x = 0.
On checking the graph, we can see that when r = 0, p = -5.
Therefore, the y-intercept is:
[tex]b=-5[/tex]
ANSWER
The functions have the same y-intercept.
OPTION C is correct.
