Posted by **spazed out** on Friday, December 7, 2012 at 1:58am.

I have two questions please

1.for the given equation list the intercepts and test for symmetry

49x^2+y^22=49

2. for the midpoint of the line segment from p_1 to P_2 is (-5,4). if P_1=(-2,2) what is P_2?

Please show work

- calculus -
**Reiny**, Friday, December 7, 2012 at 8:01am
49x^2 + y^2 = 49

divided by 49

x^2 / 1 + y^2 / 49 = 1

an ellipse :

x-intercepts: (1,0) , (-1,0)

y-intercepts: (0,7), (0, -7)

2.

for the x of P2:

(x-2)/2 = -5

x-2 = -10

x = -8

for the y of P2:

(y+2)/2 = 4

y+2 = 8

y = 6

P2 is (-8,6)

check:

the midpoint between (-8,6) and (-2,2) is ( -5,4)

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