SOLUTION: If you dont't mind could you please help me solve this problem: Assuming a line, which represents the relationship between the cost y and the quantity x passes throught the points

Algebra ->  Linear-equations -> SOLUTION: If you dont't mind could you please help me solve this problem: Assuming a line, which represents the relationship between the cost y and the quantity x passes throught the points       Log On


   

Question 99375: If you dont't mind could you please help me solve this problem: Assuming a line, which represents the relationship between the cost y and the quantity x passes throught the points (2,4) and (8,1), find and interpret the slope. Please show your work.
Thank you, I most appreciate it
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming a line, which represents the relationship between the cost y and the quantity x passes through the points (2,4) and (8,1), find and interpret the slope. Please show your work.
:
Slope formula: m = %28y2-y1%29%2F%28x2-x1%29
:
x1 = 2, y1 = 4
x2 = 8, y2 = 1
:
m = %281+-+4%29%2F%288-2%29 = %28-3%29%2F6 = -1%2F2
:
Find the equation of the line using point/slope formula: y - y1 = m(x - x1)
y - 4 = -1%2F2(x - 2)
:
y - 4 = -1%2F2x + 1
:
y = -1%2F2x + 1 + 4
:
y = -1%2F2x + 5 is an equation of the line
:
Looks like this:
+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+10%2C+-.5x+%2B+5%29+
:
You can interpret, that since it has a negative slope, the more items (x)
produced, the less the cost (y)