Answer: The equation of the vertical line passing through (-1,2) is x = -1.
The equation of the horizontal line passing through (-1,2) is y = 2
Explanation:
The equation of a vertical line passing through (-1,2) can be determined using the point-slope form of a linear equation.
A vertical line has an undefined slope because it is parallel to the y-axis and does not change in the x-direction. Therefore, the equation will be in the form x = c, where c is the x-coordinate of any point on the line. In this case, since the line passes through (-1,2), the equation of the vertical line is x = -1.
The equation of a horizontal line passing through (-1,2) can also be determined using the point-slope form of a linear equation.
A horizontal line has a slope of 0 because it is parallel to the x-axis and does not change in the y-direction. Therefore, the equation will be in the form y = c, where c is the y-coordinate of any point on the line. In this case, since the line passes through (-1,2), the equation of the horizontal line is y = 2.
In summary:
- The equation of the vertical line passing through (-1,2) is x = -1.
- The equation of the horizontal line passing through (-1,2) is y = 2.