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## A dump of our free Chat sessions, in case it is useful. It excludes white boards used during paid sessions.

student : Yes. Point a is the reflection of point B(4,%) across the line y= -x. What are the coordinates point A?
student : point a is the reflection of point B(4,5)
tutor3 : ok
tutor3 : the coordinates of A(-4,-5)
student : the answer in (-5,-4)
tutor3 : whts your B cordiane??
tutor3 : coordinate?
student : (4,%)
student : (4,5)
student : Sorry. Let me re-write the question. Point A is the reflection of point B(4,5) across the line y= -x. What are the coordinates of point A?
tutor3 : first draw the X and Y axis
student : ok
tutor3 : then draw the line y=-x
student : ok
tutor3 : you can draw the line y=-x by taking various values of x you will get various values of y
tutor3 : this way you will be able to draw the line y=-x
student : how do you take the various values of x in in order to get the coordinates?
tutor3 : suppose you take x=0 then y=0,then x=1 so y=-1,x=2,y=-2
tutor3 : this is how you draw the line. got it?
student : so i just plug in those coordinates to the graph?
student : (1,1) (2,-2)
tutor3 : (1,-1)
tutor3 : draw the graph
student : ok, but how does (4,5) turn into (-4,-5)
tutor3 : now the image of (4,5) on y=-x is (-5,-4)
student : I made the graph and drew the line but I still don't see how (4,5) becomes (-5,-4)
tutor3 : remember a rule :a) if a pint(x,y) is reflected on a line y=x then the image of the point will be(y,x) and b) if reflected on y=-x then the image will be(-y,-x)
student : Thank-you! that makes sense now
student : ok

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