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

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Question 1161266: Find the points of intersection the line with the equation y=x-4 and the curve with equation y=-2x²+8x-1
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

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




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