To write the equation of a line in point-slope form, we need the coordinates of a point on the line and the slope of the line. In this case, the given point is (-6, 1), and the slope is -4/3.
The point-slope form of a linear equation is given by:
y - y₁ = m(x - x₁)
where (x₁, y₁) represents the coordinates of the given point, and m represents the slope.
Substituting the values into the formula, we have:
y - 1 = (-4/3)(x - (-6))
Simplifying further:
y - 1 = (-4/3)(x + 6)
This is the equation of the line in point-slope form.