calculus

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?

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1. 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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posted by Reiny

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