The slope of the line, m = -3
The equation passes through the point (-2, 5)
That is x₁ = -2, y₁ = 5
Substitute x₁ = -2, y₁ = 5, and m = -3
The point-slope form of the equatio of a line is:
y - y₁ = m(x - x₁)
y - 5 = -3(x - (-2))
y - 5 = -3(x + 2)
y - 5 = -3x - 6
y = -3x - 6 + 5
y = -3x - 1
The graph of the equation y = -3x - 1 is plotted below
