The given line passes through the points (−4, −3) and (4, 1).

what is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, 3)?

The slope of the line that passes through points is

For the points (-4,-3) and (4,1) the slope is

Two perpendicular lines have slopes that form product of -1, then the slope of perpendicular line is

The  line that passes through the point (−4, 3) and has slope -2 has equation:

y=-2x-5.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source