Answer:
Hence, the linear function is given as:
y=2x+3
Step-by-step explanation:
We are given a set of input and output values as:
Input -1 -3 -5 -7
Output 1 -3 -7 -11
Now clearly as the input value decreases by 2 the output value decreases by 4.
Hence, the function is linear.
Let the function is given by:
y=ax+b
by using two set of values we will determine the value of a and b as:
when x= -1 , y=1
1= -a+b-------(1)
and when x=-3 , y=-3
-3=-3a+b-------(2)
Hence, on solving by the method of elimination we get:
on subtracting equation (2) from equation (1) we get:
a=2 and b=3.
Hence, the linear function is given as:
y=2x+3
