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.
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)
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)
