Find the slope and y intercept

slope = -1

y intercept (0,-2)

Step-by-step explanation:

We can use the two points to find the slope

(-4,2) and (1,-3)

m = ( y2-y1)/(x2-x1)

    = (-3 -2)/(1 - -4)

   = -5 /(1+4)

   = -5/5

 - 1

The y intercept is where it crosses the y axis

y intercept is (0,-2)

area  of the rectangular yard = 72 × 42 = 3024 ft²

area bounded by the fence = 34 × 64 = 2176 ft²

area of walk = 848 ft²

Step-by-step explanation:

The rectangular yard has a dimension of 42 ft by 72 ft.

The area of the rectangular yard  = Length × width

L = 72 ft

W = 42 ft  

area  of the rectangular yard = 72 × 42 = 3024 ft²

The rectangular yard is surrounded by a fence and a walkway is also inside the fence . This means reduce 4 ft for all sides of the rectangular yard to get the area of the walkway. This means reduce 8 ft to the length and width of the rectangular yard.

Length of fence = 72 - 8 = 64 ft

width of fence = 42 - 8 = 34 ft

area inside the walkway = 64 × 34 = 2176 ft²

area of walk = 3024 - 2176

area of walk = 848 ft²