MathsNet: G - Graphs - Find the gradient

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Page ID: 11590

G | Graphs | The straight line graph | «Find the gradient»

Te gradient of a straight line is found by calculating \displaystyle \frac{rise}{step}

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Summary/Background

y=mx+c

Straight lines have equations of the form y=mx+c, where c is the "y-intercept", in other words the point where the line crosses the y-axis. m is the gradient of the line, which can be found from the graph by constructing a triangle as shown to the right and measuring the "rise" and the "step". The gradient is given by "rise" divided by "step"

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This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AQA GCSE (9-1) Foundation (UK)	A: Graphs	A9: Plotting Straight-Line Graphs	Straight-Line Graphs	-
CBSE IX (India)	Algebra	Polynomials	Constant, linear, quadratic and cubic	-
CBSE XI (India)	Coordinate Geometry	Straight Lines	General equation of a line	-
CIE IGCSE (9-1) Maths (0626 UK)	5 Co-ordinate Geometry	B5.4 Equations of Straight Lines	Straight-Line Graphs	-
Edexcel GCSE (9-1) Foundation (UK)	A: Graphs	A9: Plotting Straight-Line Graphs	Straight-Line Graphs	-
GCSE Foundation (UK)	Algebra	Graphs	The straight line graph	-
OCR GCSE (9-1) Foundation (UK)	7: Graphs of Equations and Functions	7.02a: Straight Line Graphs	Straight-Line Graphs	-
Universal (all site questions)	G	Graphs	The straight line graph	-