5. Which of the following is always true about
the graph of a horizontal line?
A. The graph will have a positive y-intercept.
B. The graph will have a negative y-intercept.
C. The slope of the graph will be undefined.
D. The slope of the graph will be zero.

5 Which of the following is always true about the graph of a horizontal line A The graph will have a positive yintercept B The graph will have a negative yinter class=

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Answer:

D. The slope of the graph will be zero.

Step-by-step explanation:

Slope of a line is given as [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex].

For a horizontal line, the rise is always equal to zero since the line doesn't rise vertically. This means, [tex] y_2 - y_1 = 0 [/tex].

No matter the value of the run, [tex] x_2 - x_1 [/tex], when we divide zero by the value of the run, we would always have 0.

Therefore, the slope of an horizontal line would always be zero.