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If (y=(a+11)x+(a-18)) passes through the origin, what will be its slope?

Answer and explanation

Correct answer: 29

A line has the form y = mx + c, where c is the y-intercept. Since the line passes through the origin (0, 0), its y-intercept must be 0. Thus, a - 18 = 0, so a = 18. Therefore, the slope is m = a + 11 = 18 + 11 = 29. Option 28 would result from an error of 1 in finding a. Exam tip: for a line y = mx + c passing through the origin, always set c = 0.

Related tags

Linear EquationsSlopeY-InterceptOriginParameterAlgebraSlope And Y InterceptIntroduction To Polynomials

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