1. Revision!
a. Give the coordinates of the points marked by letters.
b. On a set of axes from -5 to 5, plot the following points and label each one.
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A = (1, 5)
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B = (1, -5)
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C = (-1, 5)
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D = (-1,-5)
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E = (0, 3)
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F = (3, 0)
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G = (-4.5, -5)
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H = (-4, 1.5)
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2. Copy and complete the table below for each of the linear functions shown and plot them on a separate set of axes
a. y = x + 2
b. y = 3x − 4
c. y = -5x
d. x + y = 6
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x
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y
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-3
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-2
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-1
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0
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1
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2
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3
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3. Sketch the graphs of the straight lines with the following:
(a) Gradient = 2, y-intercept = 1
(b) Gradient = -1, y-intercept = 0
(c) x-intercept = 3, y-intercept = 3
(d) Gradient = 0, y-intercept = -1
4. Write the equations for each of the lines in question 3.
5. Sketch the graphs of each of the following lines on separate axes:
(a) y = x − 4
(b) 2y + 3x = 6
(c) x + y = 4
(d) 2 + y = 4x
(e) 4x + 5y = 10
6. In the diagram below, p is the line 3y = x + 6
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(a) What are the coordinates of A? (b) What are the coordinates of B? (c) What is the gradient of AB? |
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7. Sketch the following graphs on the same set of axes.
(a) x = -2
(b) y = -2x
(c) y = -2
8. Give the equations of the following linear functions:
(a) 
(b)
(c) 
(d)
