Use factoring to identify the x-intercepts of y = x^2 − 9x.
To find the x-intercepts (or zeros) of the equation y = x^2 - 9x, we can set y to zero and solve for x.
0 = x^2 - 9x
To factor this quadratic equation, we look for two numbers whose product is 0 and whose sum is -9. These numbers are -3 and 0.
0 = x(x - 9)
Setting each factor equal to zero and solving, we have:
x = 0 and x - 9 = 0
Solving for x in each equation, we find:
x = 0 and x = 9
Therefore, the x-intercepts of y = x^2 - 9x are x = 0 and x = 9.