Write an equation of the line that passes through the given point and is perpendicular to the given line (2,3), x+2y=-7

easiest way:

since your new line is perpendicular to
x+2y = -7
this new line must look like 2x - y = c
but (2,3) lies on it, so
2(2) -3 = c = 1

new line: 2x - y = 1