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If (y=-8x+s) and (y=5x-13) have the same (y)-intercept, what will (s) be?

Answer and explanation

Correct answer: \(-13\)

In the form \(y=mx+c\), \(c\) is the \(y\)-intercept. The \(y\)-intercept of \(y=-8x+s\) is \(s\), while that of \(y=5x-13\) is \(-13\). Since the intercepts are equal, \(s=-13\). Note that \(-8\) is the slope of the first line, not its intercept. Exam tip: put \(x=0\) to find the \(y\)-intercept.

Related tags

Y-InterceptLinear EquationsCoordinate GeometryParameterSlope-Intercept FormSlope And Y InterceptIntroduction To PolynomialsMathematics

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