x 6.20 6.85 7.50 y 3.90 5.20 6.50 The points on a linear graph are as shown in the table. Find the gradient (slope) of the line.

Assessment: WAEC SSCE - General Mathematics - 2020 (Objective) Subject: General Mathematics

Question 1 Report

x 6.20 6.85 7.50
y 3.90 5.20 6.50

The points on a linear graph are as shown in the table. Find the gradient (slope) of the line.

Answer Details
The gradient of a line describes how steep the line is, and can be calculated as the change in y (rise) divided by the change in x (run). To find the gradient of the line in this case, we need to find the difference in y between two points and divide it by the difference in x between the same points. For example, we can choose the first two points: (6.20, 3.90) and (6.85, 5.20). The change in y is 5.20 - 3.90 = 1.30, and the change in x is 6.85 - 6.20 = 0.65. The gradient is then 1.30 / 0.65 = 2. Therefore, the gradient of the line is 2.

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