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Mkey [24]
3 years ago
7

A walking path across a park is represented by the equation y= -3x - 6 . A new path will be built perpendicular to this path. Th

e path will intersect at the point (-3 , 3) . Identify the equation that represents the new path . WILL MARK BRAINIEST!
Mathematics
1 answer:
Romashka [77]3 years ago
8 0

Answer:

The equation that represents the new path is y=(1/3)x+4

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=-3x-6

so

the slope m is equal to

m=-3

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

so

we have

m=-3 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/3

step 3

With m=1/3 and the point (-3,3) find the equation of the line

y-y1=m(x-x1)

substitute

y-3=(1/3)(x+3)

y=(1/3)x+1+3

y=(1/3)x+4 -----> equation that represent the new path

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