The y intercept of a line L is 6. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6	Choose the correct answer.
A) I only  B) II only  C) III only  D) I and II  E) I and III
C) III only   The y-intercept is 6. Therefore we have y=mx+6   It is given that the slope is negative. Therefore the line must go from top left to bottom right.   i.e: the x-intercept has to be positive. That itself rules out III.   If you choose to go with the options directly, here's an approach.   y=mx+6. For the x-intercept, y=0.   i.e. mx+6=0.   We know that the slope m is negative. Therefore, if x=-1 or x=0, the equation mx+6 =0 would never be satisfied.   If x=6, we have 6m+6=0. A value of m=-1 would satisfy this equation. 9answer III only)
<result>C</result>
The y intercept of a line L is 6. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6