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If (y=(4u-3)x+(u+7)) has (y)-intercept (19), what is the slope?

Answer and explanation

Correct answer: 45

In the form y = mx + c, c is the y-intercept and m is the slope. Here, the y-intercept is u + 7. So, u + 7 = 19, giving u = 12. Therefore, the slope is 4u - 3 = 4(12) - 3 = 45. Option 47 may result from an arithmetic error in subtraction. Exam tip: first use the intercept to find the parameter, then substitute it into the slope expression.

Related tags

Linear EquationsSlopeY-InterceptParameter SubstitutionCoordinate GeometrySlope And Y InterceptIntroduction To PolynomialsMathematics

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