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Class 9MathematicsIntroduction to PolynomialsSlope and y-interceptHard
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The line (y=(2a-1)x+3) has slope (7). What is (a)?

Answer and explanation

Correct answer: 4

In the form \(y=mx+c\), \(m\) is the slope. Here, the coefficient of \(x\) is \(2a-1\), so \(2a-1=7\). Hence \(2a=8\) and \(a=4\). If \(a=3\), the slope would be \(2(3)-1=5\), not 7. Exam tip: In \(y=mx+c\), identify the coefficient of \(x\) as the slope.

Related tags

Slope Of A LineLinear EquationsParameter ValueCoordinate GeometryAlgebraSlope 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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