Question 79314
<pre>
graph 2x+y=6
2x-y=-2


To graph linear equation, Slope - intercept form of the equation can help us.
           y = mx + b, where m = slope and b = y-intercept


1. Rewrite 2x + y = 6 to slope intercept form

               y = -2x + 6
                m = -2 and b = 6 or y -intercept = 6, point is located (0,6)

To graph this Locate the first point (y-intercept) (0,6). With the help of
slope you will be able to find the second point. draw a line passing the
two points. m=-2 or -2/1 means move downward 2 units and 1 unit right
Look at the red line.




2. Rewrite 2x - y = -2 to y = mx + b
               
                y = 2x + 2
                m = 2 and b = 2, point located (0, 2)

Locate the first point (0,2). With the help of the slope 2, you will be able 
to find the second point. Draw a line passing through the two points.
m = 2 or 2/1 means move 2 units upward and 1 unit to the right.
look at the green line




GRaph
{{{graph (200, 200, -4, 7, -2, 8, -2x+6, 2x+2)}}}