CONTENTS

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . .

Gradient of a Graph. . . . . . . . . . . . . . . . . . . .

Equation to find Gradient . . . . . . . . . . . . . . .

Basic equation of a straight line. . . . . . . . . .

Point gradient form. . . . . . . . . . . . . . . . . . . . .

General form . . . . . . . . . . . . . . . . . . . . . . . . . .

The mid-point of a line. . . . . . . . . . . . . . . . . . .

Some questions to solve. . . . . . . . . . . . . . . . . .

Answers!. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

03

06

10

12

14

16

18

20

22

INTRODUCTION

What are linear graphs?

Linear graphs can be represented as straight lines. The word linear itself means straight line! A linear graph is a straight line graph that is plotted on a Cartesian plane with x and y axis.

Equation of a straight line graph is
y = mx + c

Linear vs Non-Linear Graphs

Fig 1

Fig 1.1

Linear Graph

Non-Linear Graph

Basics

Key features of straight line graphs.

Fig 2

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GRADIENT OF A GRAPH!

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Fig 3

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Fig 3.1

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Parallel line graph

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Perpendicular line graph

Fig 4

Gradient of parallel lines

Parallel line graphs ALWAYS have the SAME gradient!
Hence, the formula is m1= m2

Gradient of perpendicular lines

The gradient of perpendicular lines is ALWAYS NEGATIVE RECIPROCALS of each other!
Hence, the formula is
m1 = -1/m2

Fig 4.1

EQUATION TO FIND GRADIENT!

Formula for gradient!

There are 2 very simple ways of finding out the gradient.

m = rise/run



m = (y2 - y1)/ (x2 - x1) aka
m = (change in y)/(change in x)

Different Forms Of An Equation Of A Line!

Section Subheading