Question

Draw the graph of the equation given below. Also, find the coordinate of the points
where the graph cuts the coordinate axes : 3x + 2y + 6 = 0 

Answer 1

We have 

        3x + 2y + 6 = 0 

⇒   2y = - 6 - 3x

⇒    `y = (-6 -3x) / 2 `

Putting  x = - 2 in (1) , we get ` x =( 6-3 (-2)) /2`= 0

 Putting  x = - 4 in (1) , we get ` y = (6 - 3 (-4)) /2` = 3 

Thus, we obtain the following table giving coordinates of two points on the line
represented by the equation   3x + 2y + 6 = 0

 Graph of the equation   3x + 2y + 6 = 0