It looks like you're looking for the equation of the line that passes through the points (4, 4) and (2, -4). Here's how you can find it:
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Calculate the slope (m): The slope of a line that passes through two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Substituting the points (4, 4) and (2, -4):
\[ m = \frac{-4 - 4}{2 - 4} = \frac{-8}{-2} = 4 \]
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Use the point-slope form of the equation of a line: Once you have the slope, you can use the point-slope form of a line's equation, which is:
\[ y - y_1 = m(x - x_1) \]
We can use either of the two points. Let's use (4, 4):
\[ y - 4 = 4(x - 4) \]
Simplifying this:
\[ y - 4 = 4x - 16 \]
\[ y = 4x - 12 \]
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Final Equation: Therefore, the equation of the line passing through the points (4, 4) and (2, -4) is:
\[ y = 4x - 12 \]
If you require further transformations or specific forms, feel free to ask!