Question

The graph of a linear function F is given

Answer 1

Explanation:

This line goes through the y-axis at 6; therefore, the coordinate at this point is (0, 6).

This line goes through the x-axis at 2; therefore, the coordinate at this point is (2, 0).

The rate of change of a linear function (aka a line) is the slope of the line. We can use the slope formula to solve for the slope:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

Filling in with our coordinates:

`m=(0-6)/(2-0)=-(6)/(2)=-3`

The rate of change is -3. This means that y decreases 3 with every increase in x of 1.