Write an equation that represents the line. use exact numbers.

y = -1/2 x - 3 1/2

Step-by-step explanation:

points (1, -4)   (3,-5)

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

slope = (-5--4)/(3-1)

          = (-5+4) /2

            =-1/2

point slope form of a line

y-y1 = m(x-x1)

y--4 = -1/2 (x-1)

y+4 = -1/2 (x-1)

if we want slope intercept form

distribute

y+4 = -1/2 x + 1/2

subtract 4 from each side

y+4-4 = -1/2 x + 1/2 -4

y = -1/2 x - 3 1/2

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: