Advertisements
Advertisements
प्रश्न
Draw the graph of the equation given below.
x + y = 2
Advertisements
उत्तर
The equation of the given line is x + y = 2.
x + y = 2
⇒ y = 2 − x ...(1)
Putting x = 0 in (1), we get
y = 2 − 0
y = 2
Putting x = 2 in (1), we get
y = 2 − 2
y = 0
Putting x = −1 in (1), we get
y = 2 − (−1)
y = 2 + 1
y = 3
Putting x = 5 in (1), we get
y = 2 − 5
y = −3
These values can be represented in the table in the form of ordered pairs as follows:
| x | 0 | 2 | -1 | 5 |
| y | 2 | 0 | 3 | -3 |
| (x, y) | (0, 2) | (2, 0) | (-1, 3) | (5, -3) |
The line is the graph of the equation x + y = 2.
APPEARS IN
संबंधित प्रश्न
The following table gives production yield in kg per hectare of wheat of 100 farms of a village:
| Production yield |
40 – 45 | 45 – 50 | 50 – 55 | 55 – 60 | 60 – 65 | 65 – 70 |
| Number of farms |
4 | 6 | 16 | 20 | 30 | 24 |
Change the distribution to 'a more than' type distribution, and draw its ogive.
Draw the graph for the linear equation given below:
x + 3 = 0
Draw the graph for the linear equation given below:
y = 4
Draw the graph for the linear equation given below:
y = 0
Draw the graph for the linear equation given below:
y = 3x
Draw the graph for the linear equation given below:
y = - 2x
Draw the graph for the linear equation given below:
3x + 2y = 0
Draw the graph for the linear equation given below:
y = - x + 4
Draw the graph for the linear equation given below:
2x - 3y = 4
For the linear equation, given above, draw the graph and then use the graph drawn (in the following case) to find the area of a triangle enclosed by the graph and the co-ordinates axes:
7 - 3 (1 - y) = -5 + 2x
On the same graph paper, plot the graphs of y = 2x - 1, y = 2x and y = 2x + 1 from x = - 2 to x = 4. Are the graphs (lines) drawn parallel to each other?
Draw a graph of each of the following equations: 5x + 2y = 16
Draw a graph of each of the following equations: x = -3y
Draw a graph of the equation 2x - 3y = 15. From the graph find the value of:
(i) x, when y = 3
(ii) y, when x = 0
Draw a graph of the equation 2x + 3y + 5 = 0, from the graph find the value of:
(i) x, when y = -3
(ii) y, when x = 8
Draw the graph of the lines y = x + 2, y = 2x - 1 and y = 2 from x = -3 to 4, on the same graph paper. Check whether the lines drawn are parallel to each other.
Draw the graph of the lines represented by the equations 3x - 2y = 4 and x + y = 3 on the same graph. Find the coordinates of the point where they intersect. State, whether the lines are perpendicular to each other.
Draw the graph of the lines represented by the equations 5y = 3x + 1 and y = 2x + 3 on the same graph. Find the coordinates of the point where they intersect.
