Slope is one of the most basic concepts in mathematics and is used to describe the steepness of a line. It is also used to calculate the rate of change between two points on a line. In this article, we will discuss how to calculate the slope of a line that contains two points, m(1, 3) and n(5, 0).
Calculating Slope of Line
The formula to calculate the slope of a line is: slope = (y2 – y1) / (x2 – x1). To calculate the slope of the given line, m(1, 3) and n(5, 0), we will use this formula.
First, we will determine the values of x and y for each point. For point m, x = 1 and y = 3. For point n, x = 5 and y = 0.
Next, we will substitute these values into the slope formula to calculate the slope of the line between m and n. Slope = (0 – 3) / (5 – 1) = (-3) / (4) = -0.75.
Understanding Slope of Line Between Two Points
The slope of a line describes the relationship between the two points on a line. A positive slope means that the line is increasing, while a negative slope means that the line is decreasing.
In the example above, the slope of the line between m and n is -0.75. This means that the line is decreasing from point m to point n.
The slope of a line can also be used to calculate the rate of change between two points. In the example above, the rate of change is -0.75. This means that for every unit increase in the x-value, the y-value decreases by 0.75 units.
In summary, the slope of a line is a measure of the steepness of the line and can be used to calculate the rate of change between two points. In this article, we discussed how to calculate the slope of a line between two points, m(1, 3) and n(5, 0). We found that the slope of the line was -0.75, which means that the line is decreasing from point m to point n.
