Write the equation of the line that passes through the pair of points by finding the slope and \( y \)-intercept.
\( (0,4) \) and \( (-1,1) \)

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Answer

3. \( y = 3x + 4 \)

Steps

Step 1 ：1. \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1-4}{-1-0} = \frac{-3}{-1} = 3 \)

Step 2 ：2. \( y = mx + b \rightarrow 4 = 3(0) + b \rightarrow b = 4 \)

Step 3 ：3. \( y = 3x + 4 \)