The graph of 3x + 2y = 6 meets the x-axis at point P and the y-axis at point Q. Use the graphical method,then the co-ordinates of points P and Q are P = (2, 0) and Q = (0, 3)
If true then enter 1 and if false then enter 0
To draw the graph for the given linear equation, we need to first plot
the points which lie on it, join them to get a straight line.
First equation is x+y=2=>y=−x+2
Substitute different values of x in the equation and calculate to get corresponding values of y.
x
| y=−x+2
| Point (x,y)
|
0
| 2 | (0,2)
|
2 | 0 | (2,0) |
4 | −2 | (4,−2) |
−1 | 3 | (−1,3) |
−3 | 5 | (−3,5) |
Plot these points on the graph paper and join them using a straight line.
Second equation is x−2y=5=>y=x2−52
Substitute different values of x in the equation and calculate to get corresponding values of y.
x
| y=x2−52
| Point (x,y)
|
0
| −52 | (0,−52)
|
3 | −1 | (3,−1) |
5 | 0 | (5,0) |
−2 | −72 | (−2,−72) |
−3 | −4 | (−3,−4) |
Plot these points on the graph paper and join them using a straight line.
Third equation is x3+y=0=>y=−x3
Substitute different values of x in the equation and calculate to get corresponding values of y.
x
| y=−x3
| Point (x,y)
|
0
| 0 | (0,0)
|
3 | −1 | (3,−1) |
6 | −2 | (6,−2) |
−3 | 1 | (−3,1) |
−6 | 2 | (−6,2) |
Plot these points on the graph paper and join them using a straight line.
All the three lines meet at a point. (3,−1)