SOLUTION: The water line is given by the equation y=-2/3x-12 Imagine you want to put a pink flamingo lawn ornament in your backyard. You want to avoid placing it directly over the water line

Question 275268: The water line is given by the equation y=-2/3x-12 Imagine you want to put a pink flamingo lawn ornament in your backyard. 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)?
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
The water line is given by the equation y=-2/3x-12 Imagine you want to put a pink flamingo lawn ornament in your backyard. 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)?
We need to see if (-4,-10) is a point on the line. If it is then when x = -4, y = -10. Substituting in the equation for the line we have:
y = -2/3x - 12
y = (-2/3)*-4 - 12
y = 8/3 - 12
y = 8/3 - 36/3
y = -28/3
y = -9 1/3
y is not equal to -10 so the point is not on the line.
RELATED QUESTIONS
b. The water line is given by the equation {{{y = -2/3x-12}}} or y minus negative two... (answered by Theo)

What is the slope and y intercept for the line in b? b) The water line is given by the (answered by jim_thompson5910)

b) The water line is given by the equation y= -1/2x-4 . Suppose you want to put a pink (answered by stanbon)

b. The water line is given by the equation Imagine you want to put a pink flamingo... (answered by ankor@dixie-net.com)

a) A water line is given by the equation y=0.6x-3.2 . Suppose you want to... (answered by rfer)

The equation for a water line is y= -2/3x -12= Under the -2 is a horizontal line to... (answered by Alan3354)

a) A water line is given by the equation y=0.6x-3.2 . Suppose you want to put a... (answered by rfer)

Could you please show me how to solve this? b)The water line is given by the equation (answered by stanbon)

The backyard can be mapped onto a Cartesian coordinate (x,y) graph. Using the various... (answered by richwmiller)