Question - Calculating Gradient (Slope) of a Line
Solution:
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.
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