A common form of a linear equation in the two variables x and y is

y=mx+b,

where m determines the slope or gradient of that line, and the constant term b determines the point at which the line crosses the y-axis, otherwise known as the y-intercept

we know that the line has y-intercept -2 thus b = -2

the slope of the perpendicular line is the "negative reciprocal" of the slope of the original line

lets find the slope of the original like

3x + 6y = 2

6y = - 3x + 2

y = (-3/6)x + 2/6

y = (-1/2)x + 1/3

the slope of the original line is (-1/2)

m = -(1/(-1/2))

m = 2

the equation of the line that we are looking for is

y = 2x - 2