AQA · Mathematics · 8300
GCSE Maths: Linear graphs: y=a graphs
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Linear graphs: y=a graphs (Corbettmaths Video 192), 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 type of line does an equation of the form x = a represent?
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A vertical line passing through the x-coordinate a.
What type of line does an equation of the form y = a represent?
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A horizontal line passing through the y-coordinate a.
To check if point P(3, 5) lies on the line y = 2x − 1, what calculation should you perform?
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Substitute x = 3 into the equation and check if y = 5. Since 2(3) − 1 = 5, the point lies on the line.
The line y = −4 is a ? line.
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horizontal
In the equation y = mx + c, what does c represent graphically?
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The y-intercept, where the line crosses the y-axis.
How do you find where two graphs intersect?
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Find the point (coordinates) where both equations are satisfied simultaneously, either by solving algebraically or reading from the graph.
What is the minimum number of points needed to draw a linear graph?
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Two points, since a linear equation produces a straight line.
How can you use a graph of y = 8x + 1 to find x when y = −11?
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Locate y = −11 on the y-axis, trace horizontally to the line, then read the corresponding x-value.
How do you solve the equation 4x + 2 = 0 using the graph of y = 4x + 2?
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Find where the line crosses the x-axis (where y = 0); the x-coordinate at that point is the solution.
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