9. Given the points $(- 1, - 2) (- 4, - 3)$ , write the following in point slope form.
a. $y - 4 = \frac{1}{3} (x - 3)$
b. $y + 2 = 3 (x + 1)$
c. $y - 2 = \frac{1}{3} (x - 1)$
d. $y + 2 = \frac{1}{3} (x + 1)$

Answer

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Answer

\boxed{y + 2 = \frac{1}{3}(x + 1)}

Steps

Step 1 ：Find the slope: $m = \frac{- 3 - (- 2)}{- 4 - (- 1)} = \frac{1}{3}$

Step 2 ：Use point-slope form: $y - (- 2) = \frac{1}{3} (x - (- 1))$

Step 3 ：\boxed{y + 2 = \frac{1}{3}(x + 1)}