The Graph of "y = mx + c"

Q1. Given the equation:

(a) Complete the table and plot the equation on a graph

See the graph below, remember to choose appropriate axes and values.

(b) What sort of graph have you plotted?

This is the graph of a straight line following the rule "y = mx + c"

The gradient here is positive and has a value of 4

(d) Where will the line you have plotted cross the 'y' axis?

The line will cross the 'y' axis at the value of the constant 'c', or in this case..... -9

Q2. Given the equation:

(a) Complete the table and plot the equation on a graph

See the graph below, remember to choose appropriate axes and values.

(b) What sort of graph have you plotted?

This is the graph of a straight line following the rule "y = mx + c"

The gradient here is negative and has a value of -3

(d) Where will the line you have plotted cross the 'y' axis?

The line will cross the 'y' axis at the value of the constant 'c', or in this case..... +6

Q3. Complete the following table showing equations for 'y'. Plot these data on the SAME set of axes.

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