What is the slope of the line that passes through the points \( (6,7) \) and \( (16,22) \) ? Write your answer in simplest form. Answer Attempt 1 out of 3 undefined
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Beyond the Answer
To find the slope of the line passing through the points \( (6,7) \) and \( (16,22) \), we use the slope formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Plugging in the points, we get \( m = \frac{22 - 7}{16 - 6} = \frac{15}{10} = \frac{3}{2} \). So, the slope of the line is \( \frac{3}{2} \). A common mistake is to confuse the calculation with vertical lines, which have undefined slopes. Remember, if both x-coordinates are the same, then the line is vertical and the slope is undefined; however, in this case, the x-coordinates are different, leading to a well-defined slope.
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