Question 244589
y = mx + b is the linear equation

b = y intercept so in this equation b = -2

so let's solve the given equation for it's slope

3x + 6y = 2  subtract 3x from both sides
6y = -3x + 2 divide both sides by 6
y = -3/6(x) + 2/6  or simplified  y = -1/2(x) + 1/3

So we know the slope of the given line is -1/2....the slope of a line perpendicular to a given line is the inverse opposite sign...so the inverse opposite sign of -1/2 is + 2/1 or 2

So now we know b (the y intercept) and m (the slope) of the line:  and the equation is:

y = 2x - 2