Find the x- and y-intercepts of the graph of 2, x, minus, 9, y, equals, 282x−9y=28. 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:
282x - 9(0) = 28
282x = 28
x = 28/282
x = 14/141
Therefore, the x-intercept is (14/141, 0).
To find the y-intercept, we set x=0 and solve for y:
282(0) - 9y = 28
-9y = 28
y = -28/9
Therefore, the y-intercept is (0, -28/9).