Question

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find an equation for the line below.

Explanation:

Identify points on the line

$$ (x_1, y_1) = (1, 6),\quad (x_2, y_2) = (-3, -4) $$

Calculate the slope

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - 6}{-3 - 1} = \frac{-10}{-4} = \frac{5}{2} $$

Determine the equation in slope-intercept form

$$
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$$

Answer:

\(y = \frac{5}{2}x + \frac{7}{2}\)