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If (y=(m+3)x-9) and (y=11x+(m-14)) have the same (y)-intercept, what is (m)?

Answer and explanation

Correct answer: 5

In the form y = ax + b, the y-intercept is the constant term b. The first line has y-intercept -9, while the second has y-intercept m - 14. For equal y-intercepts, m - 14 = -9, so m = 5. If m were 4, the second y-intercept would be -10, so the intercepts would not match. Exam tip: put x = 0 to find the y-intercept.

Related tags

Y-InterceptLinear EquationsParameterCoordinate GeometryPolynomialsSlope And Y InterceptIntroduction To PolynomialsMathematics

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