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If (m=-4) and (2c+m=18) in (y=mx+c), what is the (y)-intercept?

Answer and explanation

Correct answer: 11

Given m=-4 and 2c+m=18, substitute m to get 2c-4=18. Hence, 2c=22 and c=11. In the line y=mx+c, the y-intercept is c, so the correct answer is 11. If c were 12, then 2c+m would equal 20, not the given 18. Exam tip: in y=mx+c, identify the constant term c as the y-intercept.

Related tags

Linear EquationsSlope Intercept FormY-InterceptSubstitutionCoordinate GeometrySlope And Y InterceptIntroduction To PolynomialsMathematics

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