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 graphs of the following equations on the same system of co-ordinates. Write the co-ordinates of their points of intersection.
x + 4 = 0, y - 1 = 0, 2x + 3 = 0, 3y - 15 = 0
Draw the graph for the linear equation given below:
x - 5 = 0
Draw the graph for the linear equation given below:
y + 6 = 0
Draw the graph for the linear equation given below:
y - 2 = 0
Draw the graph for the linear equation given below:
3y + 5 = 0
Draw the graph for the linear equation given below:
x = 0
Draw the graph for the linear equation given below:
y = - x
Draw the graph for the linear equation given below:
5x+ y = 0.
Draw the graph for the linear equation given below:
y = `4x - (5)/(2)`
Draw the graph for the each linear equation given below:
y = `(3x)/(2) + (2)/(3)`
Draw the graph for the linear equation given below:
x - 3 = `(2)/(5)(y + 1)`
For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
y = 3x - 1
y = 3x + 2
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 equation x + 2y - 3 = 0. From the graph, find:
(i) x1, the value of x, when y = 3
(ii) x2, the value of x, when y = - 2.
Use the graphical method to show that the straight lines given by the equations x + y = 2, x - 2y = 5 and `x/(3) + y = 0` pass through the same point.
Draw a graph of each of the following equations: x + 6y = 15
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 x + y = 4 and 2x - y = 2 on the same graph. Find the coordinates of the point where they intersect
Draw the graph of the lines represented by the equations 2x - y = 8 and 4x + 3y = 6 on the same graph. Find the co-ordinates of the point where they intersect.
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.
