Awalking path across a park is represented by the equation y= -3x - 6 . a new path will be built perpendicular to this path. the path will intersect at the point (-3 , 3) . identify the equation that represents the new path . will mark brainiest!

C.  

Step-by-step explanation:

We are given the path, .

The general form of the straight line is 'y=mx+b', where 'm' is the slope and 'b' is the y-intercept.

Thus, the slope of the given line is -3.

As, we have that the new path is perpendicular to the given path.

And, we know that, 'Product of slopes of perpendicular lines is -1'.

So, we get,

i.e. .

Since, the new path passes through the point (-3,3). Substituting the values in the general form, we get,

i.e.

i.e. b= 3+1

i.e. b= 4.

Hence, the equation representing the new path is .

Thus, option C is correct.

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d

step-by-step explanation: