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Class 9MathematicsIntroduction to PolynomialsSlope and y-interceptHard
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If (m+c=10) and (c=4) in (y=mx+c), what is the slope?

Answer and explanation

Correct answer: 6

Given \(m+c=10\) and \(c=4\), substitute the value of \(c\): \(m+4=10\). Hence, \(m=6\). In the linear equation \(y=mx+c\), \(m\) represents the slope, so the correct answer is 6. The value 4 is only \(c\), the y-intercept, not the slope. Exam tip: in \(y=mx+c\), the coefficient of \(x\), \(m\), is the slope.

Related tags

Linear EquationsSlopeY-InterceptCoordinate GeometryAlgebraic SubstitutionSlope 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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