Page 135 - Mathematics Coursebook

13.3 Other straight lines

6 a Complete this table of values for y = 2(x + 1).

x −4 −2 0 2 5
y −6

b Draw the graph of y = 2(x + 1).
7 a Complete this table of values for y = 3 − 2x.

x −2 −1 0 1 2 4
y 7 −1

b Draw the graph of y = 3 − 2x.

8 a Complete this table of values for y = 2x − 4.
Choose your own values of x between −3 and 5.

x −3 5
y 6

b Draw the graph of y = 2x − 4.
c Where does the graph cross each of the axes?

9 a Draw the graph of y = 6 − x with values of x from −2 to 7.
b On the same axes draw the graph of y = 2.
c Where do the two lines cross?

Summary

You should now know that: You should be able to:
+ The x-axis is horizontal and the y-axis is vertical. + Read and plot positive and negative coordinates
+ The first coordinate is the x-coordinate and of points determined by geometric information.
the second coordinate is the y-coordinate. + Recognise straight-line graphs parallel to the
Coordinates can be positive, negative or zero. x-axis and y-axis.
+ Straight lines on a coordinate grid have + Generate coordinate pairs that satisfy a linear
equations. equation, where y is given explicitly in terms of x,
+ Lines with equations of the type x = 2 or y = –3 are and plot the corresponding graphs.
parallel to the y-axis or x-axis respectively. + Draw accurate mathematical graphs.
+ An equation such as y = 2x – 3 can be used to + Recognise mathematical properties, patterns and
work out coordinates and draw a straight-line relationships, generalising in simple cases.
graph.
*

134 13 Graphs