To find the y-intercept of the equation y = x^2 - 5x + 6, we set x to 0 and solve for y.
When x = 0:
y = (0)^2 - 5(0) + 6
y = 0 - 0 + 6
y = 6
Therefore, the y-intercept is 6.
To find the x-intercepts of the equation, we set y to 0 and solve for x.
When y = 0:
0 = x^2 - 5x + 6
We can factor this quadratic equation as follows:
0 = (x - 2)(x - 3)
Setting each factor equal to zero:
x - 2 = 0 -> x = 2
x - 3 = 0 -> x = 3
Therefore, the x-intercepts are x = 2 and x = 3.