SOLUTION: Sketch the graphs of y=x^2-4x+3 and x-2y=-6 on the same set of axes. Find the coordinates of each intersection point.

Question 314411: Sketch the graphs of y=x^2-4x+3 and x-2y=-6 on the same set of axes. Find the coordinates of each intersection point.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
Sketch the graphs of y=x^2-4x+3 and x-2y=-6 on the same set of axes. Find the coordinates of each intersection point.


Solve the system:



Substitute  for y in the second equation:








Set each factor = 0

x=0  -2x+9=0
       -2x=-9
         x=4.5

Find the y-value that goes with x=0 by
substituting 0 for x in






So one point of intersection is (x,y) = (0,3)

Find the y-value that goes with x=4.5 by
substituting 4.5 for x in






So the other point of intersection is (x,y) = (4.5,5.25)        



Edwin

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