AQA · Mathematics · 8300
GCSE Maths: Linear graphs: drawing (xy table)
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Linear graphs: drawing (xy table) (Corbettmaths Video 186), 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 is the first step to draw the graph of a linear equation like y = 2x + 1?
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Complete a table of values by substituting different x values into the equation to find corresponding y values.
What does the equation x = 3 represent graphically?
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A vertical line passing through the point (3, 0) on the x-axis.
What does the equation y = 1 represent graphically?
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A horizontal line passing through the point (0, 1) on the y-axis.
Where does the graph of a linear equation y = mx + c cross the y-axis?
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At the point (0, c), where c is the y-intercept.
How can you use a graph of y = 4x + 2 to solve the equation 4x + 2 = 0?
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Find the x-coordinate where the graph crosses the x-axis (where y = 0).
What does the point of intersection of two linear graphs represent?
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The coordinates (x, y) that satisfy both equations simultaneously.
How do you determine if a point P(a, b) lies on the line y = 2x − 1?
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Substitute x = a into the equation and check if the result equals b.
What type of equation is x + y = 6 in terms of graphing?
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A linear equation that can be rearranged to y = -x + 6 and graphed using a table of values.
In the equation 4x + y = 20, where does the graph cross the y-axis?
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At (0, 20), found by setting x = 0 in the equation.
For y = 10 − 2x, what is the value of y when x = 5?
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0. Substituting: y = 10 − 2(5) = 10 − 10 = 0.
What is the gradient (slope) of the line y = 3x − 1?
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3. The coefficient of x is 3.
For y = 3x − 1, what is the value of y when x = 5?
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14. Substituting: y = 3(5) − 1 = 15 − 1 = 14.
In the equation y = mx + c, the letter ? represents the gradient (slope).
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m
In the equation y = mx + c, the letter ? represents the y-intercept.
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c
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