SOLUTION: Find the points of intersection the line with the equation y=x-4 and the curve with equation y=-2x²+8x-1

y = 

y = 



At the point(s) of intersection,   = 



Simplifying...





Factoring...





Solutions (using equation of the straight line to find y values):

x = -1/2   --->  y = -1/2-4 = -1/2-8/2 = -9/2

x = -3     --->  y = -3-4 = -7



(You can verify the y values are indeed the same if you use the equation of the curve instead)





(-1/2, -9/2) and (-3,-7)  are the two points of intersection