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 + y = 7 (b) 6x + 3y = 9
(c) 2y − 3x = 4 (d) x − 2y = 6
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
|
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)