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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.

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