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What are the x-intercept and y-intercept of the line x + 4y = 8?
Ax-intercept (8, 0) and y-intercept (0, 2)
Bx-intercept (0, 8) and y-intercept (2, 0)
Cx-intercept (-8, 0) and y-intercept (0, -2)
Dx-intercept (2, 0) and y-intercept (0, 8)
Answer & Solution
Correct answer: A. x-intercept (8, 0) and y-intercept (0, 2)
1. To find the x-intercept, let y = 0: x + 4(0) = 8, so x = 8, giving the point (8, 0).
2. To find the y-intercept, let x = 0: 0 + 4y = 8, so y = 2, giving the point (0, 2).
3. The intercepts are the points (8, 0) and (0, 2).
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.3 Graph with Intercepts_
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