每日一题

Mathematics

The line represented by the equation y=1/12-x is graphed in the xy-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.