Inputs are the x-values and outputs are the y-values.
a) I chose the (x, y) coordinates of: (-4, -3) and (-5, -11)
Difference in inputs (x): -4 - (-5) = -4 + 5 = 1
Difference in outputs (y): -3 - (-11) = -3 + 11 = 8
Answer: 8
b) I chose the (x, y) coordinates of: (-3, 5) and (-5, -11)
Difference in inputs (x): -3 - (-5) = -3 + 5 = 2
Difference in outputs (y): 5 - (-11) = 5 + 11 = 16
Answer: 16
c) I chose the (x, y) coordinates of: (-2, 13) and (-5, -11)
Difference in inputs (x): -2 - (-5) = -2 + 5 = 3
Difference in outputs (y): 13 - (-11) = 13 + 11
Answer: 24
d) ratio of output to input = [tex]\frac{out-put(y)}{in-put(x)}[/tex]
a. [tex]\frac{out-put(y)}{in-put(x)}[/tex] = [tex]\frac{8}{1}[/tex] = 8
b. [tex]\frac{out-put(y)}{in-put(x)}[/tex] = [tex]\frac{16}{2}[/tex] = 8
c. [tex]\frac{out-put(y)}{in-put(x)}[/tex] = [tex]\frac{24}{3}[/tex] = 8
Answer: The ratios are the same.
