Mathematics
Grade10
Easy

Question

Write the equation in point-slope form for the line that contains the points
(3, -5) and (5, - 1)

  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:

Slope of a line that passes through (x1,y1), (x2, y2)
m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
Point-slope form of equation of a line is y - y1 = m (x - x1)

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


    Given The points (3, -5) and (5, - 1).
    Step1 : calculating slope
    Slope of a line that passes through (x1,y1), (x2, y2)
    m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    =left parenthesis negative 1 plus 5 right parenthesis divided by left parenthesis 5 minus 3 right parenthesis
    =2
    Step 2 : making point slope form
    Point-slope form of equation of a line is y - y1 = m (x - x1)
    Substitute point (3, -5) and m value.
    y + 5 = 2 (x -3)
    y + 5 = 2 (x -3) , is desired equation .

    First calculate the slope making use of two points
    and then using slope and point construct the equation of line.

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