Graphing 1)y=2x+0 2)x+y=3

Question

Liner equation by graphing 

equation:1) 2x-y=0 equation 2) x+y=3

Answer 1

Graphing 1)y=2x+0 2)x+y=3

 

 

1.  y=2x+0

 

The equation is in slope intercept form.

The slope is 2/1 and the y-intercept is 0.

To graph draw an axis on graph paper.  Label the horizontal axis x and the vertical axis y.

Put your pencil on point (0,0).  Since the slope is 2/1.  From (0,0) take your pencil and count off two units up and one unit right and place a small dot.  Repeat from that point--count two units up and one unit left and place another small dot.  Now you have three points.  Take your ruler and draw a straight line that goes through all three points.  You should put arrows on the end of the lines to show that the line goes on forever (infinitely).

 

2.  x+y=3

 

This equation is in Standard Form, Ax+By=C.  In order to graph the equation, it should be put into slope-intercept form, y=mx+b.

 

x+y=3

 

Add -x to both sides

 

y= -x+3  slope intercept form

 

The slope is -1/1 and the y-intercept is 3.

 

To graph once again draw an xy axis. 

Since the y-intercept is 3, take your pencil and put it on point (0,0). 

Now count up 3 units.  The point is (0,3); put a small dot there.

 

The slope is -1/1, so put you pencil point at (0,3).  Count up one unit and left one unit--put a small dot. 

Repeat from the new point, count up on unit and left one unit--put another small dot.

Take your ruler and draw a straight line through the three points. 

You have just graphed y=-x+3

 

good luck