Find the x- and y-intercepts of the graph of x, plus, 10, y, equals, 12x+10y=12. State each answer as an integer or an improper fraction in simplest form.
x-intercept:
y-intercept:
To find the x-intercept, set y = 0 in the equation 12x + 10y = 12:
12x + 10(0) = 12
12x = 12
x = 1
Therefore, the x-intercept is (1, 0)
To find the y-intercept, set x = 0 in the equation 12x + 10y = 12:
12(0) + 10y = 12
10y = 12
y = 12/10 = 6/5
Therefore, the y-intercept is (0, 6/5).