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General
Easy

Question

The graph of a line in the xy-plane has a positive slope and intersects the y-axis at a point that has a negative y-coordinate. Which of the following could be an equation of the line?

  1. -3x + 2y = -5
  2. -3x + 2y = 5
  3. 3x + 2y = -5
  4. 3x + 2y = 5

The correct answer is: -3x + 2y = -5


    HINT :- apply slope point of equation of line and take the conditions .slope m is positive and y intercept is negative .
    Let y = mx + c given m is positive i.e m > 0
    y intercept c is negative i.e c < 0
    As per option A we get y = 3 over 2 x - 5 over 2 which satisfies both the conditions
    So, option A could be the equation of line.

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