Question

What is the rate of change of the linear function below? *
9x – 2y = -10

Answer 1

The rate of change of the linear function is
`$(9)/(2)`.

Explanation:

To find the rate of change for the given function, we have to do some reverse operations. We have to rewrite the equation in the form of y = mx+ b where m is the slope or rate of change of the given function and b is the y - intercept for the given function. Now we have to rewrite the equation as,

9x - 2y = -10

Adding -9x on both sides, we will get,

9x-9x -2y = -10 -9x

On LHS, 9x gets cancelled.

-2y = -9x-10

Then dividing both sides of the equation by -2, we will get,

y =
`$(-9x)/(-2) +(-10)/(-2)`

y =
`$(9x)/(2) +5`

So the rate of change is
`$(9)/(2)`.