Mathematics
Grade10
Easy

Question

Given the graph, find the equation of the line in point slope form.

  1. y - 20 = ½ (x - 4)
  2. y - 20 = 5(x - 4)
  3. y + 20= 5(x + 4)
  4. y - 20 = 1(x - 4)

hintHint:

Given the graph the slope will be
m = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
and equation y - y1 = m (x - x1) is the point–slope .

The correct answer is: y - 20 = 5(x - 4)


    Taking point (0 , 0 ) and (4,20)
    Step 1 : slope is = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    = 20-0/4-0 = 5
    From the graph m is 5
    Step 2 :  point is (4,20)
    y - y1 = m (x - x1) is the point–slope form of the equation of a line.
    So, Substituting the values
    equation of line is y - 20 = 5(x - 4) .

    First find the slope using any two clear points .
    Then using one point and slope construct the equation in point slope form  .

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