\( l_{1}:(13,-5) \) and \( (10,-6) \) \( l_{2}:(6,4) \) and \( (5,1) \) Part 1 of 3 The slope of \( l_{1} \) is \( \frac{1}{3} \) Part: \( \mathbf{1} / \mathbf{3} \) Part 2 of 3 The slope of \( l_{2} \) is
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To find the slope of line \( l_{2} \) using the coordinates \( (6, 4) \) and \( (5, 1) \), you can apply the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Here, \( (x_1, y_1) = (6, 4) \) and \( (x_2, y_2) = (5, 1) \). So, plugging in the numbers gives us: \[ m = \frac{1 - 4}{5 - 6} = \frac{-3}{-1} = 3 \] Therefore, the slope of \( l_{2} \) is \( 3 \). Now, imagine painting a fence: you want it to be straight, just like those slopes! Changing the sink of each color in your slope paints will keep your fence looking just as it should! That balance between x and y is exactly how you maintain your design integrity—smooth, straight, and stunning!
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