Question

Draw the graph of the equation 3x+2y+6=0 and also find the co-ordinate of the points where the graph cuts the co-ordinate
axis
​

Answer 1

Answer:

Step-by-step explanation:

Given 3x+2y+6=0

⟹2y=−6−3x

⟹y=−3−  

2

3

​  

x

To draw the graph , we need atleast two solutions

Also to find the coordinates of the points where the graph cuts the coordinate axes,put x=0 and y=0 respectively  

Put x=0 in (1)

⟹y=−3−  

2

3

​  

(0)=−3−0=−3

(0,−3) is the solution of given line

Put y=0  

⟹0=−3−  

2

3

​  

x

⟹  

2

3

​  

x=−3

⟹x=−2

(−2,0) is the solution of given line

With these two solutions we can draw linear graph of 3x+2y+6=0

(−2,0) & (0,−3) are the points where the graph cuts the coordinate axes