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.
