Final answer:
The equation of the line parallel to x = -1 and passing through the point (-7,10) is x = -7. As x = -1 represents a vertical line with an undefined slope, any parallel line will share the same form x = k, where k is the constant, and here, it's -7.
Step-by-step explanation:
To write an equation that is parallel to x=-1 and passes through the point (-7,10), we need to recognize that x=-1 is a vertical line. All vertical lines have an undefined slope and their equations are in the form x=k, where k is a constant. Since the desired line is parallel, it will also have the form x=k. Given that it must pass through the point (-7,10), the 'k' value will be the x-coordinate of the point. Thus, the equation of the line that is parallel to x=-1 and goes through the point (-7,10) is simply x=-7.