The y intercept of a line L is 8. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6
Answers
A) I only B) II only C) III only D) I and II E) I and III
C) III only   The y-intercept is 8. Therefore we have y=mx+8   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+8. For the x-intercept, y=0.   i.e. mx+8=0.   We know that the slope m is negative. Therefore, if x=-1 or x=0, the equation mx+8 =0 would never be satisfied.   If x=6, we have 6m+8=0. A value of m=-4/3 would satisfy this equation.(ANSWER III only)
<result>C</result>
The y intercept of a line L is 8. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6