## Straight Line Graphs Exercise

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.

 A = (1, 5) B = (1, -5) C = (-1, 5) D = (-1,-5) E = (0, 3) F = (3, 0) G = (-4.5, -5) H = (-4, 1.5)

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

 x y -3 -2 -1 0 1 2 3

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

 (a) What are the coordinates of A? (b) What are the coordinates of B? (c) What is the gradient of AB? 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) 