Final answer:
A line that passes through a specific point and is parallel to two given lines will have the same slope as those lines. By using the slope-point form of a line, one can construct the equation of this new line with the given slope and point.
Step-by-step explanation:
To determine if there is one line that passes through a given point and is parallel to the other lines, we must ensure that this line has the same slope as the lines to which it is supposed to be parallel. The lines represented by y = -173.5+ 4.83x are already parallel to each other because they have the same slope, 4.83. For a new line to be parallel to these, it must also have a slope of 4.83. To find the equation of the line parallel to y = -173.5+ 4.83x that passes through a specific point, (x1, y1), we use the slope-point form of a line, which is: y - y1 = m(x - x1), where m is the slope. Substituting the known slope (4.83) and the coordinates of the given point into the equation will provide the equation of the desired line.