How can you explain and demonstrate the slope of a horizantal line?

Answer 1

The slope of a horizontal line is always zero because there is no vertical change as you move along the line; the y-coordinate remains constant while the x-coordinate changes. To demonstrate this, you can plot a horizontal line on a graph, such as y = 3, where every point has the same y-value (3) regardless of the x-value. By calculating the slope using the formula ( \text{slope} = \frac{\Delta y}{\Delta x} ), you will see that ( \Delta y = 0 ) (no change in y), resulting in a slope of ( 0 ).