Answer:
The equation of the line would be y = 1/3x + 2
Step-by-step explanation:
To find this, we must first solve the original equation for y.
3x + y = 6
y = -3x + 6
This means the original slope is -3. Since the original slope is -3, we know that the perpendicular slope is 1/3. This is because perpendicular slopes are opposite and reciprocal.
Now we use the slope and the intercept in slope-intercept form to get the equation.
y = mx + b
y = 1/3x + 2
