Calculating Gradient (Slope) of a Line
To find the gradient (slope) of the line joining the points A(2, 3) and B(5, 9), you can use the formula for the gradient (m) which is the change in the y-coordinates divided by the change in the x-coordinates:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Given the points A(2, 3) and B(5, 9), you can label them as follows:
\( (x_1, y_1) = (2, 3) \)
\( (x_2, y_2) = (5, 9) \)
Now plug these values into the formula:
\[ m = \frac{9 - 3}{5 - 2} \]
\[ m = \frac{6}{3} \]
\[ m = 2 \]
So the gradient of the line is 2.
