4x2 9y236 xy32 larger xvalue smaller yvalue larger yvalue x
4x2 9y236 (x,y)=(-3.2 ) (larger x-value) (smaller y-value) (larger y-value) x-intercepts X naller x-value) (x, y) = y-intercepts (x, y) (x, y) =
Solution
1) 4x^2 +9y^2 = 36
x intercepts : plug y=0
4x^2 = 36 ---->x^2 = 9
x = +3 , -3
(3, 0) and (-3 , 0)
y intercepts: plug x=0
9y^2 =36 ----> y^2 =4
y = +2 , -2
( 0, 2) and (0 , -2)
2) x^2 +y^2 =4
comparing with standard circle equation : (x -h)^2 +(y -k)^2 = r^2
centre = (0, 0)
radius = sqrt4 = 2
