Find the x- and y-intercepts of the graph of x, plus, 6, y, equals, 33x+6y=33. State each answer as an integer or an improper fraction in simplest form.
To find the x-intercept, we set y = 0 and solve for x:
33x + 6(0) = 33
33x = 33
x = 33/33
x = 1
Therefore, the x-intercept is (1, 0).
To find the y-intercept, we set x = 0 and solve for y:
33(0) + 6y = 33
6y = 33
y = 33/6
y = 11/2
Therefore, the y-intercept is (0, 11/2) or (0, 5.5).