AQA · Mathematics · 8300
GCSE Maths: Linear graphs: x=a graphs
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Linear graphs: x=a graphs (Corbettmaths Video 193), 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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What kind of line is the graph of x = 3?
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A vertical line passing through x = 3 on the x-axis.
What kind of line is the graph of y = 1?
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A horizontal line passing through y = 1 on the y-axis.
The graph of x = 3 is a ? line.
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vertical
The graph of y = −4 is a ? line.
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horizontal
For the equation y = 2x + 4, what is the coefficient of x?
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2 (This is the slope or gradient of the line.)
In the equation y = 2x + 4, what is the constant term?
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4 (This is the y-intercept.)
How do you check if point P(3, 5) lies on the line y = 2x − 1?
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Substitute x = 3 into the equation: y = 2(3) − 1 = 5. Since this matches the y-coordinate of P, the point lies on the line.
What is the general form of a linear equation that produces a horizontal line?
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y = c, where c is a constant.
What is the general form of a linear equation that produces a vertical line?
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x = a, where a is a constant.
How can you use a graph of y = 4x + 2 to solve the equation 4x + 2 = 0?
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Find where the graph crosses the x-axis (where y = 0). The x-coordinate at that point is the solution.
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