To find the x-intercept, we need to set y = 0 and solve for x:
0 = |3x - 7|
We can split this into two cases: 3x - 7 = 0 and 3x - 7 = 0. Solving each case, we get:
Case 1: 3x - 7 = 0
3x = 7
x = 7/3
Case 2: -(3x - 7) = 0 (Note that we use the negative sign outside the absolute value to account for the other case)
3x - 7 = 0
3x = 7
x = 7/3
So the x-intercept is (7/3, 0).
To find the y-intercept, we need to set x = 0 and solve for y:
y = |3(0) - 7|
y = |-7|
y = 7
So the y-intercept is (0, 7).
Therefore, the answer is:
- The x-intercept is (7/3, 0).
- The y-intercept is (0, 7).