Calculating the Gradient:
To calculate the gradient of the line joining two points, you divide the change in y by the change in x.
A formula for this was derived as follows:
A formula for this was derived as follows:
Worked Examples:
Find the gradient of the line joining points (2, 3) & (4, 7)
m = y2 - y1 / x2 - x1 m = (4-3) / (7-2) m = 1/5 Find the gradient of the line joining points (7, 4) & (-1, -2) m = y2 - y1 / x2 - x1 m = (-2-4) / (-1-7) m = -6/-8 = -3/-4 = 3/4 |
Find the gradient of the line joining points (7, 4) & (-3, 2)
m = y2 - y1 / x2 - x1 m = (2-4) / (-3-7) m = -2/-10 = -1/-5 = 1/5 Find the gradient of the line joining points (-2, 5) & (5, -3) m = y2 - y1 / x2 - x1 m = (-3-5) / (5--2) m = -8/7 |