AMC12 2004 A

AMC12 2004 A · Q5

AMC12 2004 A · Q5. It mainly tests Graphs (coordinate plane).

The graph of the line $y=mx+b$ is shown. Which of the following is true?

给出了直线 $y=mx+b$ 的图像。以下哪项是正确的？

(A) $mb < -1$ $mb < -1$

(B) $-1 < mb < 0$ $-1 < mb < 0$

(D) $0 < mb < 1$ $0 < mb < 1$

(E) $mb > 1$ $mb > 1$

Answer

Correct choice: (B)

正确答案：（B）

Solution

The line appears to have a slope of $-\dfrac{1}{2}$ and y-intercept of $\dfrac{4}{5}$ up. $\dfrac{4}{5}\cdot \dfrac{-1}{2}=\dfrac{-4}{10} \Rightarrow \mathrm {(B)}$

该直线的斜率看起来是 $-\dfrac{1}{2}$，$y$ 轴截距为向上 $\dfrac{4}{5}$。 $\dfrac{4}{5}\cdot \dfrac{-1}{2}=\dfrac{-4}{10} \Rightarrow \mathrm {(B)}$。

Topics

AL.011 Graphs (coordinate plane)