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What is the equation of the horizontal line through ?
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Q. What is the equation of the horizontal line through ?
- Characteristics of a horizontal line: Understand the characteristics of a horizontal line.A horizontal line has a slope of because it does not rise or fall as it moves from left to right. This means that for any two points on the line, the -coordinate will be the same, but the -coordinate can vary.
- Determining the slope of a horizontal line: Determine the slope of the horizontal line.Since the line is horizontal, its slope is .
- Finding the y-intercept of a horizontal line: Use the point given to find the y-intercept.The line passes through the point . For a horizontal line, the y-coordinate of any point on the line is the same as the y-intercept . Therefore, the y-intercept is .
- Writing the equation of a horizontal line: Write the equation of the horizontal line.The general form of the equation of a line in slope-intercept form is . Since the slope () is and the y-intercept () is , the equation of the line is , which simplifies to .
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