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Explainer Video

Tutor: Toby

Summary

Straight line graphs

In a nutshell

Straight lines join two points on a coordinate grid and continue past those points infinitely. There are two types of basic straight line graphs: horizontal, and vertical, each recognisable from their equation.

Definitions

$\bf{y}$ -INTERCEPT	The point on the $y$ -axis where the line crosses through.
$\bf{x}$ -INTERCEPT	The point on the $x$ -axis where the line crosses through.
HORIZONTAL	A straight line going left to right. Think of the "horizon" to help you remember.
VERTICAL	A straight line going up and down.

Equations of the basic straight line graphs

The equation of a horizontal line is

$y=c$

where $c$ is the $y$ -intercept. A vertical line has equation

$x=d$

where $d$ is the $x$ -intercept.

Using the equation to draw a basic straight line

To draw either a horizontal or a vertical line using its equation follow this procedure:

procedure

1.	Decide whether the equation is for a horizontal line ( $y=c$ ) or a vertical line ( $x=d$ ).
2a.	If horizontal, draw a horizontal line that passes through the point $(0,c)$ .
2b.	If vertical, draw a vertical line that passes through the point $(d,0)$ .

Note: Every point on a horizontal line has the same $y$ -coordinate and every point on a vertical line has the same $x$ -coordinate.

Example

Draw the lines $y=5$ and $x=-3$ .

The line $y=5$ is horizontal and passes through the point $(0,5)$ . The line $x=-3$ is vertical and passes through $(-3,0)$ .

Maths; Graphs; KS4 Year 10; Straight line graphs

Learn with Basics

Length:

Unit 1

Line graphs

Unit 2