Linear function is represented by the data given on the table.
" Linear equation is an algebraic expression in which highest exponent of the given variables is one. It represent a straight line."
General form of linear equation
y = ax + b
According to the data given in the table,
When x = 0 , y = -3 ,
Substitute the given values of x and y in general form of linear equation
- 3 = a × 0 + b
⇒ - 3 = b ____(1)
When x = 1 , y = 5
5 = a × 1 + b
5 = a + b ____(2)
Substitute the value of b in (2) we get,
5 = a + ( -3)
⇒ a = 8
Substitute the value of 'a' and 'b' in general form of linear equation and check whether it is true for other values of x and y.
y = 8x - 3
check for the x = 2
y = 8(2) -3
⇒ y = 13
Yes , it is correct.
When x =3
y = 8 (3) - 3
⇒ y = 21
It is correct.
Hence, we conclude that Linear function is represented by the data given on the table.
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