Final answer:
The x-intercept of the equation y - 3x = 18 is -6, because setting y to zero gives -3x = 18, solved by x = -6. The y-intercept is 18, obtained by setting x to zero, resulting in y = 18. The correct answer is B. X-intercept: -6, Y-intercept: 18.
Step-by-step explanation:
To find the x- and y-intercepts of the equation y - 3x = 18, we set each variable to zero in turn and solve for the other variable. The y-intercept occurs when x is equal to zero. If we set x to zero in the equation y - 3(0) = 18, we simply get y = 18. Therefore, the y-intercept is 18. Similarly, the x-intercept occurs when y is equal to zero. To find it, we set y to zero in the equation 0 - 3x = 18, which simplifies to -3x = 18. Solving for x, we divide both sides by -3, giving us x = -6. Thus, the x-intercept is -6. The correct answer for the x- and y-intercepts of the equation y - 3x = 18 is B: X-intercept: -6, Y-intercept: 18.