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If (y=(b-15)x+(4b+2)) has slope (5), what is the (y)-intercept?

Answer and explanation

Correct answer: 82

In the form y = mx + c, the coefficient of x is the slope. Therefore, b - 15 = 5, so b = 20. The y-intercept is the constant term 4b + 2: 4(20) + 2 = 82. Hence, 82 is correct. The value 81 would result if the constant term were 4b + 1. Exam tip: first find the parameter using the slope, then substitute it into the constant term to get the y-intercept.

Related tags

Linear EquationsSlopeY-InterceptParameter SubstitutionCoordinate GeometrySlope And Y InterceptIntroduction To PolynomialsMathematics

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