Question 217950
3.  Use the intercepts to graph the equation:

{{{x-2=y}}}


Step 1.  We can put this in standard form given as 


{{{x-y=2}}}  where we added 2-y to both sides of the equation


Step 2.  Now the intercepts occur when one of the coordinates is equal to zero, that is, x=0 or y=0.


Step 3.  Let x=0, then we have the y-intercept given as


{{{x-y=2}}}


{{{0-y=2}}}


{{{y=-2}}}


So for x=0, we have y=-2 and therefore point (0,-2) can be used to plot the line.


Step 4.  Let y=0, the we have the x-intercept given as


{{{x-y=2}}}



{{{x-0=2}}}


So for y=0 we have x=2 and therefore another point (2,0) can be used to plot the line.


Step 5.  It takes two points to draw a line and these point from Steps 3 and 4 is (0,-2) and (2,0)


Step 6.  Graph the line as shown below using the intercepts point in Step 5.


{{{graph(300,300, -5, 5, -5, 5, x-2)}}}


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