Find the x- and y-intercepts of the graph of 8, x, plus, 2, y, equals, 348x+2y=34. State each answer as an integer or an improper fraction in simplest form.
To find the x-intercept, we let y = 0 and solve for x:
348x + 2(0) = 34
348x = 34
x = 34/348
x = 17/174
Therefore, the x-intercept is (17/174, 0).
To find the y-intercept, we let x = 0 and solve for y:
348(0) + 2y = 34
2y = 34
y = 34/2
y = 17
Therefore, the y-intercept is (0, 17).