How to determine a slope if it is a zero slope negative slope undefined slope or positive slope?

Answer 1

To determine the type of slope, you need to look at the equation that represents the relationship between two variables, typically denoted as y and x.

1. Zero Slope: If the equation is of the form y = k (where k is a constant), the slope is zero. In this case, the line is horizontal.

2. Negative Slope: If the coefficient of x in the equation is negative (e.g., y = -2x + 3), the slope is negative. In this case, the line slopes downward from left to right.

3. Undefined Slope: If the equation is of the form x = k (where k is a constant), the slope is undefined. In this case, the line is vertical. Note that, in these cases, the slope is not represented by any particular number, as it is infinite.

4. Positive Slope: If the coefficient of x in the equation is positive (e.g., y = 2x + 3), the slope is positive. In this case, the line slopes upward from left to right.

It's important to note that the slope represents the ratio of vertical change (rise) to horizontal change (run) between two points on a line.