Question

a walking path across a park is represented by the equation y=-2x-7. A new path will be built perpendicular to this path.The paths will intersect at the point (-2,-3).Identify the equation that represents the new path.

Answer 1

Y= 1/2x-2

Explanation:

Apex

Hope this helps Have a nice day

Answer 2

The equation that represents the new path is y=(1/2)x-2

Explanation:

step 1

Find the slope of the give line

we have

y=-2x-7

so

the slope m is equal to

m=-2

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=-2 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/2

step 3

With m=1/2 and the point (-2,-3) find the equation of the line

y-y1=m(x-x1)

substitute

y+3=(1/2)(x+2)

y=(1/2)x+1-3

y=(1/2)x-2 -----> equation that represent the new path