draw the graph of each of the equation 3x+2y+6=0
and also find the coordinates of the points where the graphs cuts the coordinates of the axes
Answers
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
solution
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
solution