Find an equation of the line that has a y-intercept of - 2 and is perpendicular to the graph of 3x+6y=2

To do that u need to solve the equation for y

First move the 3x over to get

6y = - 3x + 2

Now solve for y by divided by 6

Y = - 3/6x + 2/6

A line perpendicular to this equation would have a slope that is the opposite reciprocal, so flip the - 3/6 and change the sign

This gives u 6/3 which simplifies to two

The new equation of the line would be y = 2x - 2