In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,-5) and (t,-7). What is the least possible value of the slope of line L?	Options:  A) 6  B) -1  C) -2  D) -6  E) -10
We need to find out the value of p and L to get to the slope.   Line L and Graph y intersect at point (p,-5). hence, x= p and Y=-5 should sactisfy the graph. soliving   5 = -p2 +9   p2 = 4   p = + or - 2   simillarly point (t,-7) should satisfy the equation. hence x=t and Y=-7.   -7 = -t2+9   t = +or - 4   considering p = -2 and t =4, the least slope is (-7+5)/(4-2) = -1   IMO option -1 is correct answer.
<result>B</result>
In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,-5) and (t,-7). What is the least possible value of the slope of line L?