Graph a line when the slope is -3 and the coordinates are (4,-2) is given by y = -3x + 10.
As given in the question,
Slope 'm' of the required line is equal to -3.
The coordinates of the required line is( x₁, y₁) = (4,-2)
Equation of the required line :
y - y₁ = m(x -x₁)
Substitute the value in the equation of the line we get,
⇒ y - (-2) = -3( x -4)
⇒y +2 =-3x + 12
⇒y = -3x +10
Graph of the line y =-3x +10 is attached.
Therefore, graph a line when the slope is -3 and the coordinates are (4,-2) is given by y = -3x + 10.
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