Question 17
Which pair of terms correctly describes the graph of the points $(1,7),(6,6)$, and $(7,1)$ ?
A increasing and nonlinear
B increasing and linear
C decreasing and nonlinear
D decreasing and linear

Answer

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Answer

\boxed{\text{Final Answer: C decreasing and nonlinear}}

Steps

Step 1 ：Find the slope between each pair of points: $m_1 = \frac{6-7}{6-1} = -\frac{1}{5}$, $m_2 = \frac{1-6}{7-6} = -5$

Step 2 ：Since the slopes are different, the graph is nonlinear

Step 3 ：The slopes are negative, so the graph is decreasing

Step 4 ：\boxed{\text{Final Answer: C decreasing and nonlinear}}