Problem

17. Find the equation of the line that contain the 2 points \( (1,2) \) and \( (5,5) \).

Answer

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Answer

Use point-slope form \(y - y_1 = m(x - x_1)\) with the point \((1,2)\): \(y - 2 = \frac{3}{4}(x - 1)\)

Steps

Step 1 ：Find the slope using \(m = \frac{y_2 - y_1}{x_2 - x_1}\): \(m = \frac{5-2}{5-1}\)

Step 2 ：Simplify: \(m = \frac{3}{4}\)

Step 3 ：Use point-slope form \(y - y_1 = m(x - x_1)\) with the point \((1,2)\): \(y - 2 = \frac{3}{4}(x - 1)\)

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