SOLUTION: Could you please show me how to solve this? b)The water line is given by the equation y= -2/3x - 12 . Suppose you want to put a pink flamingo lawn ornament in your backyard,

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Question 448856: Could you please show me how to solve this?
b)The water line is given by the equation
y= -2/3x - 12
.
Suppose you want to put a pink flamingo lawn ornament in your backyard, but you want to avoid placing it directly over the water line, in case you need to excavate the line for repairs in the future. Could you place it at the point
(-4,-10)?
c)What is the slope and y-intercept of the line in part b? How do you know?
d)Suppose you want to add a sprinkler system, and the location of one section of the sprinkler line can be described by the equation
y = -1/2x - 4

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Could you please show me how to solve this?
b)The water line is given by the equation
y= -2/3x - 12
.
Suppose you want to put a pink flamingo lawn ornament in your backyard, but you want to avoid placing it directly over the water line, in case you need to excavate the line for repairs in the future. Could you place it at the point
(-4,-10)?
===========
(-4,-10) is on the water line if the following is true:
-10 = (-2/3)(-4) -12
-10 = 8/3 -12
2 = 8/3
---
It does not, so you could place the ornament at (-4,-10)
===============================================================
c)What is the slope and y-intercept of the line in part b? How do you know?
y = (-2/3)x -12
slope = -2/3 because y decreases by 2/3 when x increases by 1.
=====================================================================
d)Suppose you want to add a sprinkler system, and the location of one section of the sprinkler line can be described by the equation
y = -1/2x - 4
??? What is the question???
Cheers,
Stan H.

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