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