In the xy-coordinate plane, the graph of y = -x^2 + 4 intersects line L at (p,5) and (t,-7). What is the least possible value of the slope of line L? Choose the correct choice from the following answers:
A) 6
B) 2
C) -4
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 +4   p2 = 1   p = + or - 1   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)/(4-1) = -4   IMO option -4 is correct answer.
<result>C</result>
In the xy-coordinate plane, the graph of y = -x^2 + 4 intersects line L at (p,5) and (t,-7). What is the least possible value of the slope of line L?