AQA · Mathematics · 8300
GCSE Maths: Linear graphs: find equation of a line
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Linear graphs: find equation of a line (Corbettmaths Video 194), 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 m represents the ? of the line.
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gradient
In the equation y = mx + c, the constant c represents the ? of the line.
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y-intercept
What are the coordinates of the y-intercept for the line y = 4x + 2?
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(0, 2)
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
What is the gradient of the line y = −x + 5?
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−1
How do you find the gradient of a line given in the form y + 7x = 8?
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Rearrange to y = mx + c form (y = −7x + 8), then read off the coefficient of x. The gradient is −7.
For the line 3x + y = 15, what is the gradient?
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−3 (rearrange to y = −3x + 15)
How do you find where a line intersects the x-axis?
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Set y = 0 and solve for x.
What is the formula for the gradient of a line passing through points (x₁, y₁) and (x₂, y₂)?
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m = (y₂ − y₁) / (x₂ − x₁)
How do you find the equation of a line given its gradient m and a point (x₁, y₁) it passes through?
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Use y − y₁ = m(x − x₁), then rearrange to y = mx + c form.
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