Question

which of the relationships below represents a function with a greater slope than function y= -1/4 + 2?

Answer 1

The slope is given by:

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

For table A we have:

$m=\frac{13-(-3)}{4-0}=\frac{13+3}{4}=\frac{16}{4}=4$

This is greater than -1/4, therefore the answer is A.