Question 215988
Graph the ordered-pair solutions of y=x+1 when x= -5,-3,0,3, and 5. 


Step 1.  The given equation y=x+1 where it is in slope-intercept form where m is the slope and the y-intercept b at (0,b).  Here m=1 and b=1.


Step 2.   Form a two-columns: one for x and the other for y


{{{x}}}      {{{y=x+1}}}

{{{-5}}}    {{{-5+1=-4}}}
{{{-3}}}    {{{-3+1=-2}}}
{{{0}}}     {{{0+1=1}}}  point to evaluate slope see Step 3 where x1=0, y1=1
{{{3}}}     {{{3+1=4}}}
{{{5}}}     {{{5+1=6}}}  point to evaluate slope see Step 3 where x2=5, y2=6


Step 3.  To verify given equation, y=mx+b=x+1, we have the slope is given as


{{{m=(y2-y1)/(x2-x1)=(6-1)/(5-0)=5/5=1}}}


Step 4.  As mentioned before, the slope-intercept point is given as {{{y=mx+b}}} where m is the slope and b is the y-intercept at point (0,1) or x=0 and y=b.  In our case x=0 implies b=1.


Then our equation is 


{{{y=mx+b=x+1}}} as given by the problem


The graph is shown below and note that the line passes through all the points in Step 2.


{{{graph(600,600, -7,7,-7,7, x+1)}}}


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J