Awalking 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.

Step-by-step explanation:

Point slope intercept form:

The equation of lien is given by:

          .....[1]

where, m is the slope and is the point on the line.

As per the statement:

A walking path across a park is represented by the equation

On comparing with y =mx+b we have;

It is given that: A new path will be built perpendicular to this path.

By definition of perpendicular:

then;

⇒, where is the slope of the new path.

Since, the new path  will intersect at the point (-2, –3).

Substitute the given values in [1]  we have;

⇒

⇒

Subtract 3 from both sides we have;

Therefore, the  equation that represents the new path. is,

no this is a nonlinear negative