Write the equation of the line that passes through the points (2,6) and (5,6). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.Answer:
Q. Write the equation of the line that passes through the points (2,6) and (5,6). 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 x and y coordinates of the two points. If the x-coordinates are the same, the line is vertical. If the y-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 y-coordinates of both points (2,6) and (5,6) are the same, which means the line is horizontal. For a horizontal line, the slopem is 0, because there is no change in the y-value as the x-value changes.
Calculate Slope: Since the line is horizontal, its equation is of the form y=k, where k is the constant y-value for all points on the line. In this case, k is equal to 6, because that is the y-coordinate for both points given.
Find Equation: Therefore, the equation of the line that passes through the points (2,6) and (5,6) is y=6.
More problems from Write a linear equation from a slope and y-intercept