2.2 Linear relations and functions

Linear Non Linear 4x-5y=7 3x-2y2 =5 X=7 3xy=7 Y=5/x Y=-5X+6 x+xy =4

A function whose ordered pairs satisfy Y = 3 X - 4 Dependent Constant Independent Linear function : A function whose ordered pairs satisfy F(x)= mx + b

Some definitions Linear Relation: Is a relation in which the graph of the relation is a Linear equation : the exponent no greater than and does not contain division operation for the variables . ONE

3) Standard form A X + B Y = C Integers

Y- intercept X- intercept Y - AXIS X - AXIS 4) The Y – coordinate of the point at a which a graph crosses the 5 ) The X – coordinate of the point at a which Y- intercept Y - AXIS X- intercept X - AXIS

Is a straight line passing through Example : 9X = 3Y + 12 Simplify: 3X = Y + 4 Linear Function : Y = 3 X – 4 F( x ) = 3 x – 4 Standard Form: 3 x – y = 4 X – intercept ( y = 0 ) Y = 3 X – 4 O= 3x -4 ------- x = 4/3 y – intercept ( x = 0 ) Y = 3 X – 4 Y= 3( 0) - 4 ---------y= - 4 9X = 3Y + 12 Is a straight line passing through ( 0 , -4 ) and ( 4/3 , 0 )