The points (0, 18) and (–8, 10) fall on a particular line. What is its equation in slope-intercept form?

y = x + 18

Step-by-step explanation:

slope:

  m = (y₂ - y₁) / (x₂ - x₁)

      = (10 - 18) / (-8 - 0)

      = -8 / -8

      = 1

y-intercept using m from above and anyone of given points, let's use (0, 18):

  y = mx + b

  (18) = 1(0) + b

  b = 18

Using m and b from above form equation of line:

  y = mx + b

  y = 1x + 18 or y = x + 18

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

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step-by-step explanation: