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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 |