Use the given conditions to write an equation for the line in point-slope form and in general form.

First, let's convert the given line equation into slope-intercept form to find the slope of the given equation, which will help us find the slope of the point-slope form equation.
Let's start converting by subtracting both sides by x.



Add both sides by 7.



Divide both sides by -6.



The slope of the equation given is 1/6. Since the point-slope form line is perpendicular to that, the point-slope form equation must must have a slope that's the negative reciprocal of 1/6, so it must have a slope of -6.

Now, let's use point-slope form.

For a line with slope m and that passes through , the point slope form equation is the following:



We know the passing point and the slope. Now, let's plug them into the point-slope form formula.




That is your answer for the point-slope form equation.
To change this to general form, distribute first.



Add both sides by and subtract both sides by 36.



That's your answer for the general form equation.
I hope this helps and have an awesome day! :)