Mathematics
Grade10
Easy

Question

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

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

hintHint:

m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction , where m is the slope and ( x1 , y1 ) and ( x2 , y2 ) are points
Point-slope form of equation of a line is y - y1 = m (x - x1)

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


    Given points are (-2, -3), (4, 3)
    Step 1 : calculating Slope
    Slope m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    =left parenthesis 3 plus 3 right parenthesis divided by left parenthesis 4 plus 2 right parenthesis
    =1
    Step 2 : Point-slope form of equation of a line is y - y1 = m (x - x1)
    A line that passes through point (-2, -3) and has slope 1 is
    y + 3 = 1(x + 2) , is the equation of the line .

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

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