The equation of the perpendicular line as required is; y = 2x -3.
Since the line in discuss is perpendicular to the given line whose slope is; -1/2. It therefore follows that the slope of the line to be determined is;
m = -1/(-1/2) = 2.
The equation of the required line can therefore be written as;
2 = (y-7)/(x-2)
2x -4 = y -7
Hence, y = 2x -3 is the equation of the line.
Read more on equation of a perpendicular line;
https://brainly.com/question/7098341
#SPJ1