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Class 9MathematicsIntroduction to PolynomialsSlope and y-interceptExpert
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If the two lines (y=(q-4)x+11) and (y=8x-5) have the same slope, what is (q)?

Answer and explanation

Correct answer: 12

In the form y = mx + c, the coefficient of x, m, is the slope. The slopes of the first and second lines are q - 4 and 8 respectively. For equal slopes, q - 4 = 8, so q = 12. Option 8 is the slope of the second line, not the value of q. Exam tip: identify the coefficient of x when finding a slope.

Related tags

Linear EquationsSlopeY-InterceptParameterParallel LinesCoordinate GeometrySlope And Y InterceptIntroduction To Polynomials
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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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