What is the equation of the line perpendicular to y=2/3x+1 that passes through the point (12,-6)

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Step-by-step explanation:

we know that

If two lines are perpendicular, then the product of their slopes is equal to minus one

so

Step 1

In this problem we have

the given line

The slope of the given line is

Find the perpendicular slope m2

substitute in the formula

Step 2

Find the equation of the line

we have

The equation of the line into point slope form is equal to

substitute

-------> equation of the line into point slope form

------> equation of the line into slope intercept form

The equation of the line in standard form is

-----> multiply by

-----> equation of the line in standard form

answer: add the !

step-by-step explanation: then we will answer

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step-by-step explanation: