1. Find the gradients of the following lines:
|
(a) |
(b) |
(c) |
(d) |
2. Make y the subject of the following equations and then find:
(i) The gradient
(ii) The y-intercept
(a) x + 2y = 7
(b) 6x − 2y = 9
(c) 
(d) 3(x − 2y) = 12
(e) 
3. Sketch the graphs of the straight lines with the following gradients and intercepts and give the equation of each:
(a) Gradient = 3, y-intercept = 2
(b) Gradient = -0.5, y-intercept = 1
(c) x-intercept = 1, y-intercept = 2.5
(d) Gradient = 0, y-intercept = -3
4. Sketch the graphs of each of the following lines on separate axes:
(a) y = 2x − 5
(b) 3y + 2x = 12
(c) x = -1.5
(d) 2 + 3y = 6x
(e) 
(f) y = 2(3 − x)
(g) 
5. Give the equations of the following linear functions:
(a) 
(b)
(c) 
(d)
