A line has equation y = 3x + 4. State the gradient and the y-intercept.
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2
For the line y = -2x + 7, calculate y when x = 0 and when x = 3. Give both values.
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3
The line y = 0.25x + 6 is drawn. What is the y-intercept? Give your answer as a coordinate point.
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4
A line passes through the points (1, 3) and (4, 9). Calculate the gradient of this line.
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5
Find the equation of the line with gradient 4 and y-intercept -3. Write your answer in the form y = mx + c.
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6
A line has equation y = -3x + 8. A second line has equation y = -3x - 2. Explain whether the lines are parallel or not, and why.
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7
The line y = mx + 2 passes through the point (2, 10). Find the value of m.
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8
A line through (0, -5) and (4, 3) is drawn. Find its equation in the form y = mx + c.
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9
The graph of a line is shown passing through (1, 6) and (4, 0). Find the equation of the line in the form y = mx + c.
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10
A straight line passes through points A(-2, 1) and B(2, 9). Work out the equation of the line in the form y = mx + c.
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11
Given the line y = 5x - 8, a student plots the point (3, 6) and says it lies on the line. Is the student correct? Show your working.
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12
For the line y = 6 - 2x, state the gradient and the y-intercept.
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13
A line has equation y = x/2 - 1. State the gradient and the y-intercept.
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14
A line passes through the points (2, 5) and (6, 13). Find the equation of the line in the form y = mx + c. Then determine whether the point (10, 20) lies on this line.
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15
Line L1 has equation y = 4x - 3. Line L2 passes through the point (0, 5) and is parallel to L1. Find the equation of L2.
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16
A line has gradient -3 and passes through the point (2, 1). Find the equation of the line in the form y = mx + c, then find the value of y when x = -1.
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17
A line crosses the x-axis at (5, 0) and has gradient 2. Find the equation of the line in the form y = mx + c, then state where it crosses the y-axis.
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18
Two points lie on a line: (-3, 4) and (1, -8). Find the equation of the line in the form y = mx + c.
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Mark scheme · KS3.M-A16D Straight Line Graphs: y = mx + c: Fluency and Exam Drill