Write an equation of the line that passes through the points (-1, 3) and (2, -3).
y = -2x + 1

y = -2x + 5

y = (-½)x + (5/2)

y = (-½)x + (½)

Hello from MrBillDoesMath!

y = -2x + 1

Discussion:

Let m = slope of line. Then

m = (change in y ) / (change in x)

   = (-3 - 3)/(2- -1)

   = -6/ (2 +1)

   = -6/3

   = -2

So y = mx + b = -2x + b. As the line passes through the point (2, -3), by substitution,

-3 =-2(2) + b                   => as 4 to both sides

-3 + 4 = ( -2(2) +4) + b    => (-2(2) +4) = -4 + 4 = 0

1 = 0 + b                          =>

b = 1

The equation of the line is y = -2x + 1, the first choice provided

Thank you,

MrB

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

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.