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Answer:
2y -x + 6 = 0
Step-by-step explanation:
Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .
The given equation is ,
Firstly convert this into slope intercept form , to find out the slope of the line.
Now on comparing it to slope intercept form which is y = mx + c , we have ,
- m = -2
And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,
Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,
Now on substituting the respective values we have,