A few days ago
Anonymous

Find an equation of the line determined by the points of intersection of the given parabolas?

the given equations are

y= x^2

y= 4x – x^2

please tell how you solved it.. i think i might have the answer of the points of intersection being (0,0) and (2,4) and i found that between those points the slope is 2 so that i believe the equation would be y = 2x.. can someone solve and tell me if i did this problem right or tell me what i need to do it get it right .. thanks

Top 3 Answers
A few days ago
MsMath

Favorite Answer

You are correct. Your procedure is purrfect.
0

4 years ago
?
set the equations equivalent to a minimum of one yet another x^2=4x-x^2 = 2x^2=4x = x^2=2x for this reason x=2 now do the comparable for y. Plug x=2 lower back into each and every equation to get 2 element (x.y) utilizing those you will discover the slope and plug into the final equation for a line y=mx+b the place b is the value on the y-axis that the line intersects whilst x=0. from equation one million, the parabolas will intersect at (2,4), and (0,0). slope = delta Y so -4 and b =0 so the equation is y = 4x If I didnt make any blunders, that would desire to be it.
0

A few days ago
theonewhoknows
I would give you the answer, but I don’t want you to fail the test.
1