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What are the x-intercept and y-intercept of the line 3x + y = 12?
Ax-intercept (0, 4) and y-intercept (12, 0)
Bx-intercept (-4, 0) and y-intercept (0, -12)
Cx-intercept (12, 0) and y-intercept (0, 4)
Dx-intercept (4, 0) and y-intercept (0, 12)
Answer & Solution
Correct answer: D. x-intercept (4, 0) and y-intercept (0, 12)
1. To find the x-intercept, let y = 0: 3x + 0 = 12, so x = 4, giving the point (4, 0).
2. To find the y-intercept, let x = 0: 3(0) + y = 12, so y = 12, giving the point (0, 12).
3. The intercepts are the points (4, 0) and (0, 12).
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.3 Graph with Intercepts_
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