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Class 9MathematicsIntroduction to PolynomialsSlope and y-interceptHard
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Which equation represents a line perpendicular to \(2x+4y=8\) and having a \(y\)-intercept of \(-3\)?

Answer and explanation

Correct answer: \(y=2x-3\)

Writing \(2x+4y=8\) as \(y=-\frac12x+2\) gives slope \(-\frac12\). A perpendicular line has slope \(2\); with y-intercept \(-3\), it is \(y=2x-3\). Exam tip: perpendicular slopes multiply to \(-1\).

Related tags

SlopeY-InterceptPerpendicular LinesLinear EquationsCoordinate GeometrySlope And Y InterceptIntroduction To PolynomialsMathematics
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10 more MCQs
  1. 1What is the slope of the line (y=2x+5)?
  2. 2What is the (y)-intercept of the line (y=3x-4)?
  3. 3What is the slope of the line (y=-x+7)?
  4. 4What is the slope of the line (y=8-2x)?
  5. 5What is the (y)-intercept of the line (y=x+9)?
  6. 6What is the slope of the line (y=5x)?
  7. 7What is the (y)-intercept of the line (y=-6)?
  8. 8In the form (y=mx+c), what does (m) represent?
  9. 9In the form (y=mx+c), what does (c) represent?
  10. 10Which line has slope (4) and (y)-intercept (1)?
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