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Which of the following best describes the slope of the line graph below

Which of the following best describes the slope of the line graph below class=

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IsaacR1
The answer would be 0, as the slope of a line is definite as it pitch, or rate of increase. So if the line were going up to the right it would be positive, to the left, negative. An undefined slope would be the exact opposite of that slope. The slope you have, when written in y=mx+b is y=4

Answer:

B. zero

Step-by-step explanation:

The slope of a line is defined as:

[tex]\frac{\Delta y}{\Delta x}[/tex]

where [tex]\Delta y[/tex] and [tex]\Delta x[/tex] means a change in [tex]y[/tex] and a change in [tex]x[/tex]

in this case we can see that for any [tex]x[/tex], [tex]y[/tex] is always equal to 4 so  [tex]y[/tex] has a constant value, thus there is no change in [tex]y[/tex] ⇒ [tex]\Delta y=0[/tex].

In terms of the slope we have:

[tex]\frac{\Delta y}{\Delta x}=\frac{0}{\Delta x}=0[/tex]

The slope of the line is zero.

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