Asked by Anonymous
Line l is y=2x-3
Curve c is y=(x+2)(x-4)
What are the coordinates for the line and the curve?
Thankyou
Curve c is y=(x+2)(x-4)
What are the coordinates for the line and the curve?
Thankyou
Answers
Answered by
Reiny
Rephrasing the question:
Find the intersection points of the line y = 2x-3 with the curve y = (x+2)(x-4) , a parabola
(x+2)(x-4) = 2x- 3
x^2 - 2x - 8 = 2x - 3
x^2-4x-5 = 0
(x-5)(x+1) = 0
x = 5 or x = -1
if x=5 , y = 2(5)-3 = 7
if x=-1, y = 2(-1)-3 = -6
the line crosses the parabola at (5,7) and (-1,-6)
see confirmation:
http://www.wolframalpha.com/input/?i=plot+y+%3D+%28x%2B2%29%28x-4%29+%2C+y+%3D+2x-3
Find the intersection points of the line y = 2x-3 with the curve y = (x+2)(x-4) , a parabola
(x+2)(x-4) = 2x- 3
x^2 - 2x - 8 = 2x - 3
x^2-4x-5 = 0
(x-5)(x+1) = 0
x = 5 or x = -1
if x=5 , y = 2(5)-3 = 7
if x=-1, y = 2(-1)-3 = -6
the line crosses the parabola at (5,7) and (-1,-6)
see confirmation:
http://www.wolframalpha.com/input/?i=plot+y+%3D+%28x%2B2%29%28x-4%29+%2C+y+%3D+2x-3
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