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What are the x- and y-intercepts for the equation y - 3x = 18?

A. X-intercept: 6, Y-intercept: 18
B. X-intercept: -6, Y-intercept: 18
C. X-intercept: 18, Y-intercept: -6
D. X-intercept: 18, Y-intercept: 6

User Youn
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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.

User Greg Schmit
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