Find the slope of the line that passes through the given point. Then write the equation of the line in point-slope form. Select all that apply.
$(3, 10)$ and $(- 2, - 5)$
$y - 5 = 3 (x + 2)$
$y - 10 = 3 (x - 3)$
$y - 10 = 3 (x + 3)$
$y + 5 = 3 (x + 2)$
$y + 10 = 3 (x - 2)$

Answer

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Answer

3) Point-slope form: $y - y_{1} = m (x - x_{1})$ => $y - 10 = 3 (x - 3)$

Steps

Step 1 ：1) $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{- 5 - 10}{- 2 - 3}$

Step 2 ：2) $m = \frac{- 15}{- 5} = 3$

Step 3 ：3) Point-slope form: $y - y_{1} = m (x - x_{1})$ => $y - 10 = 3 (x - 3)$