Question

X^2/100+y^2/25=1

The y-intercepts are at:
A) (-10,0) and (10,0)
B) (0,10) and (0,5)
C) (0,-5) and (0,5)

Answer 1

C. (0,-5) and (0,5)

Explanation:

The y-intercepts are the values of the function when x = 0. Its the point (0,b). To find them, substitute x =0 into the equation.

`(x^2)/(100)+(x^2)/(25) =1 \\(0^2)/(100)+(x^2)/(25) =1 \\(0)/(100)+(x^2)/(25) =1 \\0+ (x^2)/(25) =1 \\ (x^2)/(25) =1 \\x^2=1*25\\x^2=25\\x=-5,5`

The y-intercepts are (0,-5) and (0,5).