Linear Functions
IGCSE 0580
Topics: Algebra and graphs & Coordinate geometry
Core: C2.10, C2.11, C3.1, C3.2, C3.3, C3.5
Construct tables of values, and draw, recognise and interpret graphs for functions
Recognise, sketch and interpret graphs of linear functions
Draw straight-line graphs for linear equations.
Find the gradient of a straight line. (From a grid only.)
Interpret and obtain the equation of a straight-line graph in the form y = mx + c.
Find the gradient and equation of a straight line parallel to a given line.
Extended: E2.10, E2.11, E2.3, E2.5, E3.2, E3.3, E3.4, E3.5, E3.6, E3.7
Construct tables of values, and draw, recognise and interpret graphs for functions
Recognise, sketch and interpret graphs of linear functions
Draw straight-line graphs for linear equations.
Find the gradient of a straight line.
Calculate the gradient of a straight line from the coordinates of two points on it.
Interpret and obtain the equation of a straight-line graph (not in the form y = mx + c)
Find the gradient and equation of a straight line parallel to a given line.
Find the gradient and equation of a straight line perpendicular to a given line.
Draw a function with the table method
In this video we will look at the basics of how to draw a linear function or a straight line using the "spider diagram" and table method.
Table method Part 2
In this video we will look at the basics of how to draw a linear function or a straight line using the table method.
Gradient and the y-intercept method
In this video we will draw a straight line by using the gradient or slope and the y-intercept.
Dual-intercept method
In this video we will draw a straight line by making the x and y values zero. So to find the x-intercept we will make y zero and to find the y-intercept we will make x zero. This way we will find the two intercepts and connect them.
Determine coordinates graphically
In this video, we will draw a straight line and then read coordinates from the graph.
How to draw special lines
In this video, we will take a look at special lines like y = 2 and x = 3. These don't really look like lines, but we can draw them.
Determine the equation with two coordinates - Part 1
In this video, we will take a look at how to work out the equation of a straight line when we are provided with two points.
Extended
Determine the equation with two coordinates - Part 2
In this video, we will take a look at how to work out the equation of a straight line when we are provided with two points.
Extended
Straight lines with the same gradient
In this video, we will take a look at what it means when straight lines have the same gradient. Is there something special we notice about these lines?
Perpendicular linear functions and their gradients
In this video, we will take a look at the gradients of perpendicular lines and see if we notice anything about these gradients.
Extended
Get the equation of a parallel and perpendicular line using a coordinate
Are you ready? This is some advanced math. We are going to find the equation of a linear function that is parallel to a given line and also goes through a specific coordinate.
Perpendicular example for extended
Use a graph to get the equation
We are going to do things the other way around. We are going to use the graph to find the equation of a function.
Can you draw linear functions just by looking at them
In this video, we will do estimation drawings of linear functions. See if you can do this. It's not as difficult as it sounds.
Past Paper Questions - Coming Soon(ish)
Videos for extended length and midpoint of a line segment also coming later...
