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)}