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Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

The line represented by the equation y =1/12 - x is graphed in the x y-plane. Which of the following statements correctly describes the graph of the line?

A.The line has a negative slope and a negative y-intercept.
B.The line has a negative slope and a positive y-intercept.
C.The line has a positive slope and a negative y-intercept.
D.The line has a positive slope and a positive y-intercept.

答案和解析

答案：B

解析：

Choice B is correct. Rearrange the equation to put it into slope-intercept form

y=1/12 - x =-1(x) + 1/12

The line has slope m=-1 and y-intercept b=1/12. Therefore, the line y=1/12 - x has a negative slope and a positive y-intercept.