List the intercepts for the graph of the equation.
-$$4 x ^ { 2 } + 16 y ^ { 2 } = 64$$
A) $( - 16,0 ) , ( 0 , - 4 ) , ( 0,4 ) , ( 16,0 )$
B) $( - 4,0 ) , ( - 16,0 ) , ( 16,0 ) , ( 4,0 )$
C) $( - 4,0 ) , ( 0 , - 2 ) , ( 0,2 ) , ( 4,0 )$
D) $( - 2,0 ) , ( - 4,0 ) , ( 4,0 ) , ( 2,0 )$

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $y = 0$ and solve for $x$: $4x^2 = 64$, so $x^2 = 16$, giving $x = \pm 4$. For the y-intercepts, set $x = 0$ and solve for $y$: $16y^2 = 64$, so $y^2 = 4$, giving $y = \pm 2$. Thus, the intercepts are $(-4,0)$, $(4,0)$, $(0,-2)$, and $(0,2)$.

List the Intercepts for the Graph of the Equation 4x2+16y2=644 x ^ { 2 } + 16 y ^ { 2 } = 644x2+16y2=64

List the Intercepts for the Graph of the Equation $4 x ^ { 2 } + 16 y ^ { 2 } = 64$