Equation of the Line - Algebra Class 10

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Questions and Answers

What is the slope of the line that passes through the points (0, -2.5) and (5, 0)?

  • -0.5 (correct)
  • 0.5
  • 5
  • 2.5

Which of the following represents the y-intercept of the line given the points (0, -2.5) and (5, 0)?

  • -5
  • 0
  • -2.5 (correct)
  • 5

Which equation correctly represents the line that passes through (0, -2.5) and (5, 0)?

  • y = -2.5x - 5
  • y = 2x - 10
  • y = -0.5x - 2.5 (correct)
  • y = 0.5x + 2.5

If the line's equation is modified to increase the slope to -1, what would be a possible new equation?

<p>y = -x - 2.5 (A)</p> Signup and view all the answers

What would be the equation of the line if the y-intercept were to change to (0, -3)?

<p>y = -0.5x - 3 (C)</p> Signup and view all the answers

Flashcards

Equation of a line

A mathematical formula that represents a straight line on a coordinate plane.

Line's points - (0, -2.5) and (5, 0)

Two points that the line passes through.

Slope of a Line

The steepness of a line, calculated as the change in y divided by the change in x.

Correct equation from options?

Out of three options, determining y = -0.5x - 2.5 as the correct answer for the line.

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Finding the equation

A process using points and slope formula.

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Study Notes

Equation of the Line

  • The line passes through the points (0, -2.5) and (5, 0).
  • The slope of the line is -0.5.
  • The y-intercept is -2.5.
  • The equation of the line is y = -0.5x - 2.5.

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