Find the x- and y-intercepts of the graph of minus, 8, x, plus, y, equals, 21−8x+y=21. State each answer as an integer or an improper fraction in simplest form.
To find the x-intercept, set y=0 and solve for x:
21-8x+0=21
-8x=0
x=0
Therefore, the x-intercept is (0,0).
To find the y-intercept, set x=0 and solve for y:
21-8(0)+y=21
y=21
Therefore, the y-intercept is (0,21).