Question

Determine the equation of a line parallel to the y-axis and goes through the point (3, 15).
Answer
Determine the equation of the horizontal line that passes through each given point. (4, 7)
Answer
Determine the equation of a line parallel to the y-axis that goes through the point (–6, 5).
Answered by GPT 3.5
A line parallel to the y-axis is a vertical line, which means it has the form x = k, where k is a constant. Since the line goes through the point (3, 15), the constant k must be equal to 3. Therefore, the equation of the line is x = 3.
Answered by GPT 3.5
A horizontal line has a slope of 0 and takes the form y = k, where k is a constant. Since the line passes through the point (4, 7), the constant k must be equal to 7. Therefore, the equation of the line is y = 7.
Answered by GPT 3.5
A line parallel to the y-axis means that the slope of the line is undefined. This is because a line parallel to the y-axis has no change in the x-coordinate.

Since the line is parallel to the y-axis, its equation will be of the form x = k, where k is a constant. Since the line passes through the point (-6, 5), the x-coordinate of the point gives us the value of k. Therefore, the equation of the line is x = -6.