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A line passes through the points
(0,-3) and
(4,5). Ravi says that its y-intercept is 5 because the y-coordinate of the second point is 5. Which is the correct evaluation of Ravi's statement?

Answer and explanation

Correct answer: Ravi is incorrect; the slope is 2 and the y-intercept is -3.

The slope is
\(m=(5-(-3))/(4-0)=2\). A y-intercept is the y-value when
\(x=0\), so it is -3 here. The value 5 is only the y-coordinate of
(4,5). Exam tip: first locate the point with
\(x=0\).

Related tags

SlopeY-InterceptCoordinate GeometryLinear EquationsError AnalysisSlope And Y InterceptIntroduction To PolynomialsMathematics

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