What is the Slope of the Line Shown Below?

What is Slope?

Slope is a term used in mathematics to describe the steepness of a line. It is also known as the gradient, or rate of change, of a line. When graphing a line, the slope is the ratio of the vertical change to the horizontal change between two points on the line. It is usually represented by the letter m or the Greek letter delta. The equation for the slope of a line is m = (y2 – y1) / (x2 – x1).

How to Calculate the Slope of a Line

When graphing a line, the slope can be calculated by finding the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. To calculate the slope, use the equation m = (y2 – y1) / (x2 – x1).

For example, if you have two points on a line with the coordinates (2, 5) and (4, 8), the slope can be calculated using the equation: m = (8 – 5) / (4 – 2) = 3 / 2 = 1.5.

What is the Slope of the Line Shown Below?

The line shown below has the coordinates (2, 4) and (4, 8). The slope can be calculated using the equation m = (8 – 4) / (4 – 2) = 4 / 2 = 2. Therefore, the slope of the line shown below is 2.

Conclusion

Slope is a term used in mathematics to describe the steepness of a line. It is usually represented by the letter m or the Greek letter delta. Calculating the slope of a line is done by finding the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. The equation for the slope of a line is m = (y2 – y1) / (x2 – x1). In the example shown above, the slope of the line is 2.