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
Identify Two Points on the Line
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Answer
To calculate the gradient of the line, we first need to identify two points on the line from the graph. We can choose the points (0, -5) and (2, 0) as they are clearly marked.
Step 2
Apply the Gradient Formula
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Answer
The gradient (m) is calculated using the formula:
m=x2−x1y2−y1
Substituting our points into this formula, we get:
m=2−00−(−5)=25=2.5
Step 3
Conclusion
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Answer
Thus, we have shown that the gradient of the line is indeed 2.5.
