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This graph shows part of a straight line - OCR - GCSE Maths - Question 7 - 2020 - Paper 1

Question 7

This graph shows part of a straight line. (a) Show that the gradient of the line is 2.5.

Worked Solution & Example Answer:This graph shows part of a straight line - OCR - GCSE Maths - Question 7 - 2020 - Paper 1

Step 1

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Answer

From the graph, select two clear points that the line passes through. For instance, let's take the points (0, 0) and (4, 10).

Step 2

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Answer

The gradient (m) of a straight line is calculated using the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting the coordinates of our points:

$m = \frac{10 - 0}{4 - 0} = \frac{10}{4} = 2.5$

Step 3

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Answer

Thus, it is shown that the gradient of the line is indeed 2.5.

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