SOLUTION: What is the slope and y intercept for the line in b? 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 back

Algebra ->  Linear-equations -> SOLUTION: What is the slope and y intercept for the line in b? 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 back      Log On


   

Question 175560: What is the slope and y intercept for the line in b?
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)?
No

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We can see that the equation y=-%282%2F3%29x-12 is in slope intercept form y=mx%2Bb where the slope is m=-2%2F3 and the y-intercept is b=-12 note: the y-intercept is the point



Since we're looking at the point (-4,-10), this means that x=-4 and y=-10


y=-%282%2F3%29x-12 Start with the given equation.


-10=-%282%2F3%29%28-4%29-12 Plug in x=-4 and y=-10


-10=8%2F3-12 Multiply


-10=8%2F3-36%2F3 Multiply 12 by 3%2F3


-10=-28%2F3 Subtract the fractions.


Since the equation is NOT true, this means that the point (-4,-10) is NOT on the line y=-%282%2F3%29x-12. So the flamingo at the point (-4,-10) is NOT on the water line y=-%282%2F3%29x-12


So you can place the flamingo at the point (-4,-10).