From the graph given we have a horizontal line.
Here, we have a constant y value.
The equation of a horizontal line is; y = b
Thus, we have y = -1
Where,
[tex]\text{slope}=\frac{\text{change in y}}{\text{change in x}}=\frac{y2-y1}{x2-x1}[/tex]
The slope of a horizontal line is always zero, since it has just one y-value which means the change in y is zero.
Take the points:
(x1, y1) ==> (2, -1)
(x2, y2) ==> (4, -1)
Thus,
[tex]\text{slope}=\frac{-1-(-1)}{4-2}=\frac{-1+1}{4-2}=\frac{0}{2}=0[/tex]
Therefore, the slope of the given line is zero.
ANSWER:
Slope = 0
