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How do you graph #x+y=0# by plotting points?

Answer 1

Eva Abramson

see explanation.

#x+y=0" is the equation " y=-x" in disguise"#

#"this tells us that every y-coordinate is the negative of the"# #"corresponding x-coordinate"#

#rArrx=2toy=-2rArr(2,-2)#

#rArrx=1toy=-1rArr(1,-1)#

#rArrx=0toy=0rArr(0,0)#

#rArrx=-1toy=1rArr(-1,1)#

#"plot these points and draw a straight line through them"# graph{-x [-10, 10, -5, 5]}

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Answer 2

Hazel Anglin

To graph the equation (x + y = 0) by plotting points, you can choose values for either (x) or (y) and then solve for the other variable. One straightforward approach is to pick values for (x), find the corresponding values for (y) using the equation, and then plot the points. For example:

Let (x = -2), then (y = 2) since (x + y = 0).
Let (x = -1), then (y = 1).
Let (x = 0), then (y = 0).
Let (x = 1), then (y = -1).
Let (x = 2), then (y = -2).

Plot these points on a graph and connect them to form a straight line. This line represents the graph of the equation (x + y = 0).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.