The equation of line which is parallel to line is y = (-2x-7)/3.
Gradient is the ratio between change in y-axis to change in x-axis.
Here, Given Equation of line is y = [tex]\frac{-2}{3}x+9[/tex]
gradient of line m₁ = -2/3
Equation of line passing through point (-8, 3) and gradient -2/3 (parallel to given line) is
(y - y₁) = m₂(x - x₁)
( y - 3) = -2/3(x+8)
3y - 9 = -2x -16
3y = -2x -16 + 9
3y = -2x -7
y = (-2x-7)/3
Thus, the equation of line which is parallel to line is y = (-2x-7)/3
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