Draw the graph of the equations $2 x - y + 6 = 0$ and $2 x + y - 6 = 0$ . Also determine the coordinates of the vertices of the triangle formed by these lines and the x-axis.

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Solution

Given equation should be
$2 x - y + 6 = 0$ ...(1)
$2 x + y - 6 = 0$ ...(2)

From (1)
$2 x - y + 6 = 0$

From (2)
$2 x + y - 6 = 0$

Plotiing graph: Ref. Image

We can see that triange from by two limes and x-axis is given by $Δ A B C$

Vertex of $Δ A B C = (), + 3) (- 3, 0) (3, 0)$

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Draw the graph of the equations 2x−y+6=0 and 2x+y−6=0. Also determine the coordinates of the vertices of the triangle formed by these lines and the x-axis.

Given equation should be 2x−y+6=0...(1)2x+y−6=0...(2)From (1) 2x−y+6=0From (2)2x+y−6=0Plotiing graph: Ref. ImageWe can see that triange from by two limes and x-axis is given by ΔABCVertex of ΔABC=(),+3)(−3,0)(3,0)

Draw the graph of the equations $2 x - y + 6 = 0$ and $2 x + y - 6 = 0$ . Also determine the coordinates of the vertices of the triangle formed by these lines and the x-axis.

Given equation should be
$2 x - y + 6 = 0$ ...(1)
$2 x + y - 6 = 0$ ...(2)

From (1)
$2 x - y + 6 = 0$

From (2)
$2 x + y - 6 = 0$

Plotiing graph: Ref. Image

We can see that triange from by two limes and x-axis is given by $Δ A B C$

Vertex of $Δ A B C = (), + 3) (- 3, 0) (3, 0)$