3 What are the slope and $y$ -intercept of the line that passes through the pair of points $(5, 1)$ and $(- 10, - 11)$ ?
(A) $m = - 3, b = \frac{4}{5}$
(B) $m = \frac{4}{5}, b = - 3$
$m = 3, b = - \frac{4}{5}$
(D) $m = - \frac{4}{5}, b = 3$

Answer

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Answer

Step 3: Convert to slope-intercept form: y = - $\frac{4}{5}$ x + $\frac{4}{5}$ (5) + 1

Steps

Step 1 ：Step 1: Calculate the slope: m = $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ = $\frac{- 11 - 1}{- 10 - 5}$ = $\frac{- 12}{15}$ = $- \frac{4}{5}$

Step 2 ：Step 2: Use point-slope form: y - 1 = - $\frac{4}{5}$ (x - 5)

Step 3 ：Step 3: Convert to slope-intercept form: y = - $\frac{4}{5}$ x + $\frac{4}{5}$ (5) + 1