How to find slope

To find the slope of a line, you need to know two points on that line. Let's say you have two points with coordinates (x1, y1) and (x2, y2).

The slope can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

Here's a step-by-step guide on how to find the slope:

1. Identify the values of x1, y1, x2, and y2 based on the given points.
2. Subtract y1 from y2 to find the difference in the vertical coordinates.
3. Subtract x1 from x2 to find the difference in the horizontal coordinates.
4. Divide the difference in the vertical coordinates by the difference in horizontal coordinates.
5. Simplify the resulting fraction, if necessary, to get the slope.

For example, let's say you have two points: (2, 4) and (5, 9).

1. Identify x1 = 2, y1 = 4, x2 = 5, and y2 = 9.
2. Subtract y1 = 4 from y2 = 9 to get 9 - 4 = 5.
3. Subtract x1 = 2 from x2 = 5 to get 5 - 2 = 3.
4. Divide 5 by 3, which gives you a slope of 5/3.
5. The simplification is not possible here, so the slope is 5/3.

Remember, slope measures the steepness of a line. A positive slope indicates an upward slant, while a negative slope indicates a downward slant. A slope of zero represents a horizontal line, and an undefined slope represents a vertical line.