IB Maths AA 2.1 Definitions

This page contains our IB Maths AA definitions for 2.1. By learning each one of these definitions, you will fully cover the content for IB Maths AA 'Forms of lines'.

All Topic 2 Sub-topics 2.1: Forms Of Lines 2.2: Functions 2.3: Solving Functions 2.4: Graph Transformations (HL)2.5: Advanced functions (HL)2.6: Inequalities (HL)2.7: Additional transformations

gradient

The coefficient

a

y=ax+b

, giving the predicted change in

y

when

x

increases by

1

gradient-intercept

A form of a straight-line equation written as

y=mx+c

, where

m

is the gradient and

c

is the

y

-intercept.

Intercepts

The points where a line crosses the coordinate axes; the

y

-intercept occurs when

x=0

and the

x

-intercept occurs when

y=0

parallel

Checks consistency by comparing results from two different versions designed to measure the same thing.

perpendicular

Meeting at a right angle, so the angle between the two lines is

90^{\circ}

point-gradient

A form of a straight-line equation using a point

(x_1,y_1)

and gradient

m

y-y_1=m\left(x-x_1\right)

vertical

Describing changes parallel to the

y

-axis, such as a stretch by factor

|a|

or a shift up or down by

d

x-intercept

The point where a line crosses the

x

-axis, found by setting

y=0

and solving for

x

, giving a point of the form

(x,0)

y-intercept

The point where a line crosses the $y$ -axis, found by setting $x=0$ in the equation of the line.

Next Up

You have completed the topic 2 definitions for IB Maths AA - continue with related resources below or explore the full IB Maths AA course from the IBO.

Explored IB Maths AA Definitions?

Get stuck into one of our other subjects!

Other subjects' Definitions

Biology

Chemistry

Physics

Maths AI

Join 85,000 students, across 130+ countries, in 500+ IB schools. That's half of the IB science graduates worldwide.

Start a 7d free trial