Mathematics
Grade10
Easy

Question

Write the equation in point-slope form for the line that contains the points
(0, -2) and (3, 4)

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

Hint:

using the points calculate slope
and then using the point and slope to write equation .

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


    The points (0, -2) and (3, 4).
    Slope formula m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    Step 1 : Substitute points we get slope as
    4 - (-2) / 3 - 0
    = 6 / 3
    = 2
    m = 2 , is our slope
    Step 2 :Point slope form y - y1 = m (x - x1)
    Substitute point (3, 4) and m value.
    y -4 = 2 (x -3). is the final equation that we get .

    the equation in point slope form 

    y - y1 = m( x-x1)


    where m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction

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