# Algebra

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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

Complete the table for this equation.

x y (x,y)
-1
-2
-4
2
8

e)What objects might be in the way as you lay the pipe for the sprinkler?

• Algebra -

b) Plug in x=-4 and y=-10 into the equation
= -(2/3)x -12
If the equation is not satisfied, then there is no water line below.

(c) The slope is ths coefficient of the "x" term. The y-intercept is the constant term (-12 in this case). It is the value of y when x = 0.

(d) You should be able to do this yourself. All you do is pick a series of x values and calculate the corresponding y values. One point is x=0, y=-4