How do you graph x +y = 4 and x-y=6

Question

How do you graph x +y = 4

                            x-y=6

Answer 1

x + y = 4

x - y = 6

 

Both of these equations are straight lines.  First, put them into the standard slope-intercept format, y = mx + b, where m = the slope of the line and b = the y-intercept.

 

x + y = 4

 

y = -x + 4       (subtract x from both sides)

 

This is a straight line with a slope of -1 and y-intercept of 4.

 

x - y = 6

 

-y = -x + 6     (subtract x from both sides)

 

y = x - 6         (Multiply both sides by -1)

 

This is a straight line with slope = 1 and y-intercept = -6

 

Can you graph them?