Question

What is the graph's approximate rate of change? A. -1/2 B. 1/2 C.-9/10 D. 9/10

Answer 1

Rate of change is slope. Slope is rise over run, or change of y over change in x. Our two point to use are (1/2,2) and (-3,-1). 
Therefore:
$\frac{y1-y2}{x1-x2} = \frac{2-(-1)}{ \frac{1}{2}-(-3) } = \frac{3}{ \frac{7}{2} } = \frac{6}{7}$