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Answer :

Using the formula of slope of a line, the slope in the graph is -2/3

Slope of a Line

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate.

The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by the formula

m = y₂ - y₁ / x₂ - x₁

Taking two coordinate from the line;

  • A =  (0, 4)
  • B = (6, 0)

Substituting the values into the formula below

m = y₂ - y₁ / x₂ - x₁

m = 0 - 4 / 6 - 0

m = -4 / 6

m = -2/3

The slope is -2/3

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