First of all, let’s remind ourselves of how to plot points on a set of coordinate axes. Let’s get up and plot some points that the teacher suggests to us:

A **linear function** is a function where if we represented the pairs of corresponding input and output values as coordinates (x,y) would represent a line on the coordinate grid. Let’s plot the points for y=2x+3 and y=36/x and think about which one of these is a linear function.

In the following exercise you will need to draw some graphs. Each time you draw a graph you need a horizontal x-axis and a vertical y-axis, both drawn with a ruler. You must mark a scale on each axis which goes up in equal steps. The size of the steps will depend on the specifics of the question (always read the question carefully first).

**Exercise**

Let’s complete exercise 14A from pages 220 and 221 of the textbook:

The answers are below:

Note that in the above exercise, we **rearranged equations to make y the subject of the equation **before drawing the line. There is actually an easier way to draw a line from an equation, using the cover up method.

Let’s try it to draw the equation of 2x+5y = 30. Note that if we know two points on a line, we are able to confidently draw the line.

**Exercise**

Draw the graphs for the following:

The answers are below: