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

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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
User Nosey
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