Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Slope $=-\frac{1}{3}$, passing through $(9,-4)$
Write an equation for the line in point-slope form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)

Answer

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Answer

$\boxed{y + 4 = -\frac{1}{3}(x - 9)}$ is the equation for the line in point-slope form.

Steps

Step 1 ：Given the slope $m = -\frac{1}{3}$ and the point $(9, -4)$, we can use the point-slope form formula: $y - y_1 = m(x - x_1)$.

Step 2 ：Plug in the given values: $y - (-4) = -\frac{1}{3}(x - 9)$.

Step 3 ：Simplify the equation: $y + 4 = -\frac{1}{3}(x - 9)$.

Step 4 ：$\boxed{y + 4 = -\frac{1}{3}(x - 9)}$ is the equation for the line in point-slope form.