单选题Line l passes through the origin and is perpendicular to the line given by the equation 2x + y = 8. Which of the following points is NOT on line l?A (-4, -2)B (-1,1)C (2,1)D (4,2)E (7,3.5)

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单选题

Line l passes through the origin and is perpendicular to the line given by the equation 2x + y = 8. Which of the following points is NOT on line l?

(-4, -2)

(-1,1)

(2,1)

(4,2)

(7,3.5)

参考答案

参考解析

解析：
2x+y=8，所以y =-2x + 8，因为函数是斜截式且斜率为-2。垂直于x-y平面的的直线的斜率互为反倒数。所以斜率Line1的斜率为1/2，又因为Line l经过原点且与y =-2x + 8垂直。所以Line 1为y =(1/2)x。以上四个选项中可知只有B点在Line l上。

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