Ask a Teacher



draw the graph of the equation x-y+1=0 and 3x+2y-12=0. determine the coordinate of the vertices of the triangle formed by these lines and the x axis?shade the triangular region?find the area of the triangle formed

 First equation is                   x – y + 1         = 0
Add y and subtract 1 both side we get
x                     = y -1
Plug  y = 0 ,1 and 2 we get
x   = 0 -1   = - 1
x   = 1 -1   = 0
x    = 2 -1   =  1

 X          -1          0            1
 Y           0          1            2

 3x + 2y – 12   = 0
Subtract 3x and add 12 both side we get
2y        = 12 – 3x
Divide by 2 we get
y         = 6- 1.5 x
Plug  x = 0 ,2, and 4 we get
y         = 6- 1.5 *0      = 6
y         = 6- 1.5 *2     = 3
y         = 6- 1.5 *4      = 0 

 X      0       2     4
Y       6       3     0





comments powered by Disqus