Final answer:
The y-intercept of the line is 6 and the x-intercept is -50/3.
Step-by-step explanation:
Given the equation -3x - 4 = -54 - 8y, we need to determine the x-intercept and y-intercept of the line.
To find the y-intercept, we set x = 0 and solve for y. Plugging in x = 0 into the equation, we get -4 = -54 - 8y. Solving for y, we find that y = 6.
To find the x-intercept, we set y = 0 and solve for x. Plugging in y = 0 into the equation, we get -3x - 4 = -54. Solving for x, we find that x = -50/3.
Therefore, the y-intercept is 6 and the x-intercept is -50/3.