Question 225057
Graph y=x/2-3 by using the slope and y-intercept.


Step 1.  The slope-intercept from is given as y=mx+b where m is the slope and b is the y-intercept at x=0 or at point (0,b).


Step 2.  Comparing {{{y=x/2-3}}} with {{{y=mx+b}}}, the slope {{{m=1/2}}} and the y-intercept {{{b=-3}}}


Step 3.  Now the slope of {{{1/2}}} for every two units you go the right, you go one unit up.   

To plot the line take the y-intercept at point (0,-3).  So starting at point (0,-3) or x1=0 and y1=-3 we go two units to the right means x2=0+2=2 and 1 unit up means y2=-3+1=-2.  So we have two points (0,-3) and (2,-2) used to plot the line.


{{{graph(400,400, -10, 10, -10, 10, x/2-3)}}}


I hope the above explanation was useful.


And good luck in your studies!


For free Step-By-Step Videos on Introduction to Algebra, please visit 

http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit 

http://www.FreedomUniversity.TV/courses/Trigonometry.


Respectfully,
Dr J