Topics
13. Coordinate Geometry
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iGCSE (2021 Edition)

13.11 Graphs of linear equations

Lesson
Worksheet
Practice

Interactive practice questions

Consider the following graph.

Loading Graph...
A Cartesian plane has both its $x$x- and $y$y-axes ranging from $-7$−7 to $7$7. Both axes are marked with intervals of $1$1 unit. A diagonal line is plotted on the Cartesian plane. The line moves downward from left to right. The line passes through the $y$y-axis at $\left(0,4\right)$(0,4). The line passes through the $x$x-axis at $\left(3,0\right)$(3,0). The points are not marked and their coordinates are not explicitly labeled or given. The line continues to move downward and extends beyond the visible part of the graph.
a

State the $x$x-value of the $x$x-intercept.

b

State the $y$y-value of the $y$y-intercept.

Easy
< 1 min

Consider the following graph.

Easy
< 1 min

Consider the following graph.

Easy
< 1 min

Consider the linear equation $y=2x-4$y=2x−4.

Medium
3 min
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Outcomes

0580C2.11A

Construct tables of values for functions of the form ax + b, where a and b are integer constants. Draw and interpret these graphs. Solve linear equations approximately, including finding and interpreting roots by graphical methods. Recognise, sketch and interpret graphs of functions

0580C3.2

Find the gradient of a straight line.

0580C3.4

Interpret and obtain the equation of a straight line graph in the form y = mx + c.

0580E3.2

Find the gradient of a straight line. Calculate the gradient of a straight line from the coordinates of two points on it.

0580E3.4

Interpret and obtain the equation of a straight line graph.

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