Equation of a Straight Line Quiz

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Questions and Answers

Given a straight line with a gradient of 2 and a y-intercept of 5, what is the equation of the line?

  • $y = 2x - 5$
  • $y = 5x - 2$
  • $y = 2x + 5$ (correct)
  • $y = 5x + 2$

Given a straight line with a gradient of -3 and a y-intercept of -2, what is the equation of the line?

  • $y = 2x - 3$
  • $y = -2x - 3$
  • $y = -3x - 2$ (correct)
  • $y = 3x - 2$

Given a straight line with a gradient of 0.5 and a y-intercept of -4, what is the equation of the line?

  • $y = 4x + 0.5$
  • $y = 0.5x - 4$ (correct)
  • $y = -0.5x - 4$
  • $y = -4x + 0.5$

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Study Notes

Equations of Straight Lines

  • The equation of a straight line with a gradient of 2 and a y-intercept of 5 is y = 2x + 5.
  • The equation of a straight line with a gradient of -3 and a y-intercept of -2 is y = -3x - 2.
  • The equation of a straight line with a gradient of 0.5 and a y-intercept of -4 is y = 0.5x - 4.
  • The general form of the equation of a straight line is y = mx + c, where m is the gradient and c is the y-intercept.

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