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    Mathematics
    Grade-8
    Easy

    Question

    Identify the equation in general form for the line with slope 3 and y-intercept –4

    1. 3x – y – 4 = 0 
    2. 3x – y + 4 = 0 
    3. 3x + y – 4 = 0
    4. 3x + y + 4 = 0

    hintHint:

    Equation of a line, when its slope and intercept is given can be given as- y = mx + b, where m = slope and b = y-intercept.

    The correct answer is: 3x – y – 4 = 0

      GIVEN-
      Slope (m) = 3
      y-intercept (b) = -4
      TO FIND-
      Equation of the given line in general form
      SOLUTION-
      We know that equation of a line in slope intercept form is y = mx + b.
      Substituting values of m and b, we get-
      y = 3x + (-4)
      ∴ y = 3x - 4
      ∴ 0 = 3x - y - 4 .......................... (Subtracting y from both sides)
      FINAL ANSWER-
      Option 'a' i.e. '3x – y – 4 = 0' is the correct answer to the given question.

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