Problem

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.)

Solution

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.

From Solvely APP
Source: https://solvelyapp.com/problems/22039/

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