AQA · Mathematics · 8300
GCSE Maths: Linear graphs: y=mx+c
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Linear graphs: y=mx+c (Corbettmaths Video 191), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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In the equation y = mx + c, the letter ? represents the gradient.
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m
In the equation y = mx + c, the letter ? represents the y-intercept.
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c
What is the gradient of the line y = 7x + 9?
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7
What are the coordinates where the line y = 4x + 2 intersects the y-axis?
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(0, 2). The y-intercept is 2, and at the y-axis, x = 0.
Which equation does NOT represent a straight line: y = x + 1, y = 9x − 2, y = x², or y = 7 − 2x?
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y = x². A straight line must be linear; x² makes it quadratic.
What is the gradient of the line y = −x + 5?
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−1. The coefficient of x is −1.
What is the gradient of the line y = 3 − 4x?
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−4. The coefficient of x is −4.
What is the gradient of the line y + 7x = 8?
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−7. Rearrange to y = −7x + 8.
For the line 3x + y = 15, what is the gradient?
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−3. Rearrange to y = −3x + 15.
Where does the line y = −2x + 6 intersect the x-axis?
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(3, 0). Set y = 0: 0 = −2x + 6, so x = 3.
What is the formula for finding the gradient between two points (x₁, y₁) and (x₂, y₂)?
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Gradient = (y₂ − y₁) / (x₂ − x₁). It measures the change in y over the change in x.
A line passes through (0, 7) and (3, 19). What is the gradient?
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4. Gradient = (19 − 7) / (3 − 0) = 12 / 3 = 4.
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