Awalking path across a park is represented by the equation y equals negative 2x -7. a new path will be built perpendicular to this path. the pats will intersect at the point -2, -3. identify the equation that represents the new path

So we are given an initial equation of: .

We are told that a new path is going to be perpendicular to this line. So to find a slope that is perpendicular to a line, we take the slope of the known line (in this case 2) and we flip it and change the sign. So since this slope is essentially , we are going to flip it to make it and change the sign to make it .

So now we know that the slope of the perpendicular line is , we can start a new equation for this line:

We are also told that the path will intersect at (-2,-3) - this is a solution to the two lines. So to find b in this new equation, let's plug in the x and y values found in the point:

Then solve for b:

So then we plug in our value for b and leave x and y:

So this equation now represents the new path.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.