Hi,
Line passing through (2,-2) and perpendicular to a line with the equation: 4x+2y=-6 0r y = -2x - 3, m = -2
New Line: m = 1/2 and y-2 = 1/2(x-(-2))
Using the point-slope form: y-2 = 1/2(x-(-2))0r (y-2) = 1/2(x+2)
Using the standard slope-intercept form for an equation of a line y = mx + b
where m is the slope and b the y-intercept.
y = (1/2)x +3
standard form of a line is in the form Ax + By = C
x - 2y = -6