Question

oFunction 1 has a greater ROCthan Function 2oFunction 2 has a greater ROCthan Function 1O They have the same ROC

Answer 1

The ROC or slope of a linear function is given by the expression:

$m=\frac{y_2-y_1}{x_2-x_1}$

For function 1:

$m_1=\frac{4-0}{9-2}=\frac{4}{7}$

For function 2:

$m_2=\frac{4-0}{4-(-3)}=\frac{4}{7}$

By this, we can say that they have the same rate of change (ROC)