| 
 
 
 
Question 595638:  explain in detail how to graph this linear equation by graphing. i do not understand how you can look at it and graph it. this first equation goes on top. the second goes understand. 3x+4y=2, x-y=1 
 Answer by scott8148(6628)      (Show Source): 
You can  put this solution on YOUR website! graphing linear equations by "inspection" is fairly straight forward
 
 
the x and y intercepts (where the line crosses the two axes) are easy to determine, and the two points allow the line to be drawn
 
 
the y-intercept is the value of y, when x equals zero (and vice versa)
 
 
looking at the 1st equation 
___ ignoring the x-term (because it equals zero) ___ 4y = 2 ___ y = 1/2 ___ this is the y-intercept 
___ ignoring the y-term ___ 3x = 2 ___ x = 2/3 ___ this is the x-intercept 
___ the line connecting the two points is the graph of the equation
 
 
looking at the 2nd equation 
___ ignoring the x-term  ___ -y = 1 ___ y = -1 ___ this is the y-intercept 
___ ignoring the y-term ___ x = 1 ___ this is the x-intercept 
___ the line connecting the two points is the graph of the equation 
  | 
 
  
 
 |   
 
 |   
 |  |