Final answer:
The y-intercept of the equation is (0, -8) and the x-intercept is (8/3, 0).
Step-by-step explanation:
The y-intercept of the given linear equation y = 3x - 8 is the value of y when x is equal to 0. Substituting 0 for x, we get y = 3(0) - 8 which simplifies to y = -8. Therefore, the y-intercept is the point (0, -8).
The x-intercept of the given linear equation is the value of x when y is equal to 0. To find the x-intercept, we set y to 0 and solve for x. The equation becomes 0 = 3x - 8. Adding 8 to both sides of the equation and then dividing by 3, we get 8/3 = x. Therefore, the x-intercept is the point (8/3, 0).
So, the ordered pairs representing the points where the line crosses the axes are (0, -8) and (8/3, 0).