To find the slope of line AB that connects the points A(4, 5) and B(9, 7), we can use the slope formula, which is given by:
m = (y2 – y1) / (x2 – x1)
Here, (x1, y1) is point A and (x2, y2) is point B. Substituting the coordinates:
m = (7 – 5) / (9 – 4)
This simplifies to:
m = 2 / 5
Thus, the slope of line AB is 2/5.
The slope represents the rate of change of y with respect to x, indicating that for every 5 units you move horizontally to the right, the line moves up by 2 units. This information is useful in understanding the steepness and direction of the line.