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What are the x-intercept and y-intercept of the line 2x + y = 6?
Ax-intercept (0, 3) and y-intercept (6, 0)
Bx-intercept (3, 0) and y-intercept (0, 6)
Cx-intercept (-3, 0) and y-intercept (0, -6)
Dx-intercept (6, 0) and y-intercept (0, 3)
Answer & Solution
Correct answer: B. x-intercept (3, 0) and y-intercept (0, 6)
1. To find the x-intercept, let y = 0: 2x + 0 = 6, so x = 3, giving the point (3, 0).
2. To find the y-intercept, let x = 0: 2(0) + y = 6, so y = 6, giving the point (0, 6).
3. The intercepts are the points (3, 0) and (0, 6).
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.3 Graph with Intercepts_
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