Question 389698
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Hi, 
 Using the standard slope-intercept form for an equation of a line y = mx + b
  where m is the slope and b the y-intercept.  
graphing the linear system by plotting points on @ line and connecting with a line
x+y=1      OR y = -x + 1  m = -1  y-intercept Pt(0,1) Pt(2,-1) &(-2,3)on the line
2x-3y=12   OR y = (2/3)x - 4  m = (2/3)  y-intercept is Pt(0,-4. Pt(3,-2)on line
Note: Lines intersect at Pt(3,-2), that point being the solution for this system
{{{drawing(300,300, -6, 6, -6, 6, grid(1),
circle( 0, 1,0.3),
circle(0,-4,0.3),
circle(2,-1,0.3),
circle(-2,3,0.3),
circle(3,-2,0.3),

graph( 300, 300, -6, 6, -6, 6,-x+1, (2/3)x-4))}}}