The equation of the line is given as y = 4. This means that the value of y remains constant at 4 regardless of the value of x. In simpler terms, no matter what x value you choose, y will always be 4.
To find the slope of a line, we look at how much y changes when x changes. In this case, because y does not change at all (it’s always 4), the change in y (Δy) is 0.
The formula for slope (m) is:
m = Δy / Δx
Since Δy is 0, we have:
m = 0 / Δx
For any value of Δx, the result is still 0. Thus, the slope of the line y = 4 is 0.
This indicates that the line is horizontal, meaning it does not rise or fall as it moves along the x-axis.