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Class 9MathematicsIntroduction to PolynomialsSlope and y-interceptExpert
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If the two lines (y=(q-6)x+9) and (y=10x-4) have the same slope, what is (q)?

Answer and explanation

Correct answer: 16

In the form \(y=mx+c\), \(m\) is the slope. The slope of the first line is \(q-6\), while that of the second line is \(10\). For equal slopes, \(q-6=10\), so \(q=16\). If \(q=14\), the first slope would be \(8\), not \(10\). Exam tip: In \(y=mx+c\), identify the coefficient of \(x\) as the slope.

Related tags

SlopeLinear EquationsParameterCoordinate GeometryParallel LinesSlope 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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