Mathematics
Grade10
Easy

Question

Write the equation of a line that passes through the point (3,1) with a slope of -2 in point slope form.

  1. y - 1 = 1/2 (x - 3)
  2. y + 1 = 2 (x + 3)
  3. y - 1 = - 1/2 (x - 1)
  4. y - 1 = - 2 (x - 3)

Hint:

Point-slope form of equation of a line is y - y1 = m (x - x1)
where m is slope and ( x1 , y1 ) is the point .

The correct answer is: y - 1 = - 2 (x - 3)


    Given: Point is (3,1) and slope is -2.
    Step 1 : Point-slope form of equation of a line is y - y1 = m (x - x1)
    Step 2 : Substituting (3,4) in (x1, y1) and -2 in m,
    we get y - 1 = - 2 (x - 3)
    y - 1 = - 2 (x - 3) is the desired equation .

    Point-slope form of equation of a line is y - y1 = m (x - x1)

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