AQA · Mathematics · 8300
GCSE Maths: Linear graphs: drawing using y=mx+c
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Linear graphs: drawing using y=mx+c (Corbettmaths Video 187), 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 linear equation y = mx + c, the letter ? represents the gradient (slope).
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m
In the linear equation y = mx + c, the letter ? represents the y-intercept.
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c
What are the coordinates of the y-intercept for the equation y = 2x + 1?
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(0, 1). The y-intercept occurs where x = 0, so y = 2(0) + 1 = 1.
What is the gradient of the line y = 3x − 1?
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3. In y = mx + c form, the coefficient of x is the gradient.
What is the equation of a horizontal line passing through y = 1?
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y = 1. A horizontal line has the form y = c, where c is constant.
What is the equation of a vertical line passing through x = 3?
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x = 3. A vertical line has the form x = c, where c is constant.
To check if a point (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. If 2(3) − 1 = 5, then the point lies on the line.
What does the intersection point of two linear graphs represent?
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The coordinates where both equations are satisfied simultaneously; the solution to the system of equations.
How do you find the y-intercept of a linear graph from its equation?
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Set x = 0 and solve for y. The y-intercept is the point (0, y).
How do you find the x-intercept of a linear graph from its equation?
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Set y = 0 and solve for x. The x-intercept is the point (x, 0).
In the equation y = 6 − 4x, what is the gradient?
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−4. The coefficient of x is the gradient, even when written after the constant term.
To solve the equation 4x + 2 = 0 graphically, what should you look for on the graph of y = 4x + 2?
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The x-coordinate where the graph crosses the x-axis (where y = 0).
What is the slope (m) of the line y = 6 − x?
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−1 (the coefficient of x is −1)
What is the y-intercept (c) of the line y = 6 − x?
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6 (the constant term)
What is the y-intercept (c) of the line y = 3x − 1?
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−1 (the constant term)
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