Question

The graph of a linear function F is given

Answer 1

Answer:

Step-by-step 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:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Filling in with our coordinates:

$m=\frac{0-6}{2-0}=-\frac{6}{2}=-3$

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