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?	Choose the most appropriate option
A) 6	B) 2	C) -2	D) 1	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)= 
<gadget id="calculator">  (7-5)/(4-2)</gadget>
<output>1</output>
1   IMO option 1 is correct answer.
<result>D</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?