Find the linear function with the following properties.

f(−4)=6
Slope of f=−6

Given:

f(−4)=6

Slope of f=−6

To find:

The linear function with the given properties.

Solution:

We have,

f(−4)=6

It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).

Slope of f=−6

The point slope form of a linear function is

where, m is slope of the linear function.

On substituting the values, we get

Add 6 on both sides.

The function form of this linear equation is

Therefore, the required function is .