Draw the graphs of the equations x–y+1=0 and 3x+2y–12=0

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 7. Draw the graphs of the equations x–y+1=0 and 3x+2y–12=0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.

Solution

x–y+1=0--------(1)

3x+2y–12=0----------(2)

x–y+1=0

Put x=0

0-y+1=0

Y=1

Put y=0

x-0+1=0

x=-1


Table 
x  0  1
  y    1        0
(x,y)   (0,1)   (-1,0)

3x+2y–12=0
Put x=0
3(0)+2y=12
2y=12
Y=6
Put y=0
3x+2(0)-12=0
3x=12
X=12/3=4
X=4

Table
x   0  4
y      6     0
(x,y)    (0,6)   (4,0)


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