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If (y=ax-10) and (y=9x+4) have equal slopes, what is (y) on the first line at (x=2)?

Answer and explanation

Correct answer: 8

In the form y = mx + c, the coefficient of x, m, is the slope. Since the slopes are equal, a = 9. Thus, the first line is y = 9x - 10. Substituting x = 2 gives y = 9(2) - 10 = 18 - 10 = 8. Option 10 would result from not subtracting 10. Exam tip: compare the coefficients of x to compare slopes.

Related tags

Linear EquationsSlopeY-InterceptSubstitutionCoordinate GeometrySlope And Y InterceptIntroduction To PolynomialsMathematics

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