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A line passes through the point \( (-6,6) \) and has a slope of \( \frac{4}{3} \). Write an equation in point-slope form for this line. \( \square \)

Ask by Salazar Welch. in the United States
Mar 14,2025

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The equation in point-slope form is \( y - 6 = \frac{4}{3}(x + 6) \).

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Mind Expander

Using the point-slope form of a line, which is \( y - y_1 = m(x - x_1) \), where \( m \) is the slope and \( (x_1, y_1) \) is a point on the line, we can plug in the values. Here, the point is \( (-6, 6) \) and the slope \( m = \frac{4}{3} \). Thus, the equation becomes: \( y - 6 = \frac{4}{3}(x + 6) \). To simplify, you might distribute and rearrange if needed, but this is the point-slope form of the line you're looking for!

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