Answer:
Option C. y - 20 = -10(x - 9)
Explanation:
We will choose one point on the graph and plug in the coordinates in each option to find the correct equation.
Point in the graph is (3, 80)
Now we plug in the values in the options given.
A). y - 20 = 10(x - 9)
y - 20 = 10(3 - 9)
y = 20 + 10(-6)
y = 20 - 60 = -40 ≠ 80
So this option is not correct.
B). y + 20 = 10(x + 9)
y + 20 = 10(3 + 9)
y + 20 = 10×12 = 120
y = 120 - 20 = 100
So this option is not correct
C. y - 20 = -10(3 - 9)
y - 20 = -10(-6) = 60
y = 20 + 60 = 80
So the given option is correct.
D. y + 20 = -10(x + 9)
y + 20 = -10(3 + 9)
y + 20 = -10×12 = -120
y = -120 + 20 = -90
So this option is not correct.
Option C is the correct option.