In the standard (x,y) coordinate plane, an equation of a circle is x² + y² = 64. At what points does the circle intersect the y-axis?

A.) (0,1) and (0,-1)

B.) (0,8) and (0,-8)

C.) (0,9) and (0,-9)

D.) (0,10) and (0,-10)

E.) the circle does not intersect the y-axis

A.) (0,1) and (0,-1)

B.) (0,8) and (0,-8)

C.) (0,9) and (0,-9)

D.) (0,10) and (0,-10)

E.) the circle does not intersect the y-axis

**When a graph intersects the y-axis, the value of x is equal to zero.**

To find the y-intercepts, set x equal to zero.

To find the y-intercepts, set x equal to zero.

x² + y² = 64

0² + y² = 64 {substituted 0 for x}

y² = 64 {simplified}

y = 8 or -8 {took square root of each side}

The coordinates of the y-intercepts would be

**B.) (0,8) and (0,-8)**