Score: \( 6 / 10 \) Penalty: none Question What is the equation of the line that passes through the point \( (-6,4) \) and has a slope of 0 ? Answer Attempt 1 out of 3
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When a line has a slope of 0, it means that it is perfectly horizontal. This means that the y-coordinate remains constant regardless of the x-coordinate. Since the line passes through the point \((-6, 4)\), the equation of the line would be \(y = 4\). This tells us that no matter where you’re at along the x-axis, the value of y will always be 4! Think about a flat horizon—this line essentially runs parallel to the ground. If you were to plot various points along this line, like \((-5, 4)\) or \((0, 4)\), you'd see they all share the same y-value, confirming that this is indeed a line with a slope of 0.
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