Line AB is a straight line connecting two points: A(4, 5) and B(9, 7). To calculate the slope of this line, we will need to use the simple formula of "rise over run". This article will explain how to calculate the slope of Line AB, and analyze the two points A and B.

## Calculating the Slope of Line AB

The formula for calculating the slope of Line AB is "rise over run". To find the slope, we need to first determine the differences between the x-coordinates and y-coordinates of the two points A and B.

The difference between the x-coordinates is (9 – 4) = 5. The difference between the y-coordinates is (7 – 5) = 2. So, the slope of Line AB is 2/5.

## Analyzing Points A and B

Point A is located at the coordinates (4, 5). This means that it is 5 units up from the x-axis and 4 units to the right of the y-axis.

Point B is located at the coordinates (9, 7). This means that it is 7 units up from the x-axis and 9 units to the right of the y-axis.

These two points form Line AB. By calculating the slope of Line AB, we can determine how steep the line is and how much it rises or falls over a given distance.

In conclusion, the slope of Line AB can be calculated by using the formula "rise over run". By analyzing the two points A and B, we can determine the differences between the x-coordinates and y-coordinates, which will give us the slope of Line AB.

Line AB is made up of two points, A(4, 5) and B(9, 7). The slope of line AB can be calculated by dividing the difference of the y-coordinates of the two points by the difference of the x-coordinates of the two points. The formula for calculating the slope is m = (y2 – y1) / (x2 – x1).

When we apply the formula to calculate the slope of line AB, we get m = (7 – 5) / (9 – 4) = 2 / 5.

Therefore, the slope of line AB is 2/5.