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what is the slope of the line that passes through the points (1,1) and (4,4)? write your answer in simplest form.
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Step1: Recall slope formula
The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is \( m = \frac{y_2 - y_1}{x_2 - x_1} \).
Step2: Identify coordinates
Here, \( (x_1, y_1) = (1, 1) \) and \( (x_2, y_2) = (4, 4) \).
Step3: Substitute into formula
Substitute values: \( m = \frac{4 - 1}{4 - 1} = \frac{3}{3} \).
Step4: Simplify the fraction
Simplify \( \frac{3}{3} = 1 \).
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