Question

What number need to be changed to make a linear function? And what does it have to turn into?

Answer 1

In order to have a linear function, the rate of change needs to be the same in each point

`m=(y_2-y_1)/(x_2-x_1)`

For

(-18,2)=(x1,y1)

(-14,4)=(x2,y2)

`m=(4-2)/(-14+18)=(1)/(2)`

for

(-14,4)=(x1,y1)

(-12,5)=(x2,y2)

`m=(5-4)/(-12+14)=(1)/(2)`

for

(-12,5)=(x1,y1)

(0,12)=(x2,y2)

`m=(12-5)/(0+12)=(7)/(12)`

as we can see here are the two numbers so we will obtain the equation in order to know the number that needs to be change

`y=(1)/(2)x+11`

therefore if x=0

`y=(1)/(2)(0)+11=11`

the number we need to change is 12 and need to be changed for 11

(0,11)

a. The number that needs to be changed in order to create a linear function is 12

b. That number needs to be changed to 11 in order for the function to be linear