The slope-intercept form of the line is y = - 2x - 5.
What is the slope of a line?
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the Δy and Δx coordinates, respectively. Consequently, it is possible to write the change in y coordinate with respect to the change in x coordinate as m = Δy/Δx.
Given that the slope of the line is -2.
The line passes through the point (2,-9).
The equation of line that passes through (x₁, y₁) with slope m is
y - y₁ = m (x - x₁).
y - (-9) = -2(x -2)
y +9 = -2x + 4
y = -2x - 5
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