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

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

Step-by-step explanation:

The slope of the original path is -2.  Any new path perpendicular to this one will have a slope which is the negative reciprocal of -2, which here is 1/2.

Use the point-slope formula y - k = m(x - h):

y - (-3) = (1/2)(x - (-2)), or

y + 3 = (1/2)(x + 2)  represents the new path.

a. is correct