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Write the equation of the line that passes through the points and . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.Answer:
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Q. Write the equation of the line that passes through the points and . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.Answer:
- Determine Line Type: First, we need to determine if the line is vertical, horizontal, or neither. We can do this by looking at the and coordinates of the two points. If the -coordinates are the same, the line is vertical. If the -coordinates are the same, the line is horizontal. If neither are the same, the line is neither vertical nor horizontal.
- Identify Horizontal Line: We observe that the -coordinates of both points and are the same, which means the line is horizontal. For a horizontal line, the slope is , because there is no change in the -value as the -value changes.
- Calculate Slope: Since the line is horizontal, its equation is of the form , where is the constant -value for all points on the line. In this case, is equal to , because that is the -coordinate for both points given.
- Find Equation: Therefore, the equation of the line that passes through the points and is .
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