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
Draw the graph of the equation given below.
3x - y = 0
The following distribution gives the daily income of 50 workers of a factory.
| Daily income (in ₹) | 200-220 | 220-240 | 240-260 | 260-280 | 280-300 |
| Number of workers | 12 | 14 | 8 | 6 | 10 |
Convert the distribution above to a 'less than type' cumulative frequency distribution and draw its ogive.
Draw the graph for the linear equation given below:
y + 6 = 0
Draw the graph for the linear equation given below:
x = 0
Draw the graph for the linear equation given below:
3x + 2y = 0
Draw the graph for the linear equation given below:
x = - 2y
Draw the graph for the linear equation given below:
y = `4x - (5)/(2)`
Draw the graph for the linear equation given below:
2x - 3y = 4
Draw the graph for the linear equation given below:
`(x - 1)/(3) - (y + 2)/(2) = 0`
Draw the graph for the equation given below:
`(1)/(2) x + (2)/(3) y = 5`.
Draw the graph for the equation given below:
`(2x - 1)/(3) - (y - 2)/(5) = 0`
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 the graph of the equation 3x - 4y = 12.
Use the graph drawn to find:
(i) y1, the value of y, when x = 4.
(ii) y2, the value of y, when x = 0.
Draw a graph of each of the following equations: 5x + 2y = 16
Draw a graph of each of the following equations: `(x - 2)/(3) - (y + 1)/(2)` = 0
Draw a graph of each of the following equations: 2(x - 5) = `(3)/(4)(y - 1)`
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 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.
