Final answer:
The equation of the line parallel to x = 1 that contains the point (-2,-1) is x = -2.
Step-by-step explanation:
- To find the equation of a line parallel to x = 1 that contains the point (-2,-1), we need to determine the equation of the given line and find a line with the same slope passing through (-2,-1).
- Since x = 1 is a vertical line, its slope is undefined. Therefore, any line parallel to x = 1 will also be vertical and can be represented by the equation x = k, where k is a constant.
- To find the value of k, we substitute the x-coordinate (-2) of the given point into the equation x = k.
- Hence, the equation of the line parallel to x = 1 that contains the point (-2,-1) is x = -2.