SOLUTION: please help show my son how to create a graph from the following functions. y=x+5 thank you.

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Question 277186: please help show my son how to create a graph from the following functions. y=x+5

thank you.

Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
It's a straight line, so only 2 points are needed.
Pick 2 values for x and find y, eg,
x...y
0...5 --> (0,5)
5...10 --> (5,10)
Plot the 2 points, draw a line thru them.

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
please help show my son how to create a graph from the following functions. y=x+5

Start with a set of axes:



substitute 

x = 1 

into that equation

y = (1) + 5
y = 1 + 5
y = 6

Write the ordered pair (x,y) = (1,6)

Plot that ordered by drawing a vertical green line 
through 1 on the x axis (since x=1) and a red line 
through 6 on the y-axis (since y=6), like this:



Mark the point where they cross, and label it 




Now erase the green and red lines.




----

substitute 

x = -2 

into that equation

y = (-2) + 5
y = -2 + 5
y = 3

Write the ordered pair (x,y) = (-2,3)

Plot that ordered by drawing a vertical green line 
through -2 on the x axis (since x=-2) and a red line 
through 3 on the y-axis (since y=3), like this:

 

Mark the point where they cross, and label it 




Now erase the green and red lines.




Now draw a blue line through both those points:



That blue line is the graph of the equation .  Notice that the
values I picked for x, 1 and -2 were completely arbitrary!  Picking any 
value of x will do, You will get different points, but they will always fall
right on that same blue line.  The other tutor picked 0 and -5, and (0,5) and
(-5,0) are also on this line.

Edwin

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