Question

If x decreases by 3 units what is the corresponding change in y ?

Answer 1

We have the equation:

`y=6x-2`

The rate of change in linear functions like this is equal to the slope, which in this case is m = 6.

So, for each unit increase in x, y will increase in 6 units.

`\Delta y=m\cdot\Delta x=6\cdot1=6`

This rate of change is constant for linear functions, so when x decreases by 3 units, we expect y to decrease by 3*6 = 18 units, 3 times the slope. So y will be -18 of the previous value.

Answer: a) 6, b) -18.