AQA · Mathematics · 8300
GCSE Maths: Linear graphs: equation through 2 points
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Linear graphs: equation through 2 points (Corbettmaths Video 195), 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 coefficient ? represents the gradient of the line.
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m
In the equation y = mx + c, the constant ? represents the y-intercept of the line.
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c
Which type of 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 (quadratic equations are not straight lines)
What is the gradient of the line y = −x + 5?
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−1
To find the gradient of a line in the form y + 7x = 8, what must you do first?
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Rearrange it into the form y = mx + c
What is the gradient of the line 3x + y = 15?
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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 and solve for x
How do you find the gradient of a line passing through two points (x₁, y₁) and (x₂, y₂)?
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Use the formula: gradient = (y₂ − y₁)/(x₂ − x₁)
A line passes through (0, 7) and (3, 19). What is its gradient?
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4 — calculated as (19 − 7)/(3 − 0) = 12/3 = 4
If a line has gradient 8 and passes through (2, 3), how do you find its equation?
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Substitute into y = mx + c: 3 = 8(2) + c, solve for c, then write y = 8x + c
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