JAMB Mathematics 2017 Paper

Concept:The gradient measures how steep a line is. For two points, it is the vertical change divided by the horizontal change.Explanation:Let the first point be $(x_1, y_1) = (3, 2)$ and the second point be $(x_2, y_2) = (1, 4)$.Use the gradient formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$.Substitute the coordinates: $m = \frac{4 - 2}{1 - 3}$.Compute the numerator: $4 - 2 = 2$.Compute the denominator: $1 - 3 = -2$.So $m = \frac{2}{-2} = -1$.The negative value shows that as $x$ increases, $y$ decreases.Answer:The gradient is $-1$. Therefore, the correct option is C.