Advertisements
Advertisements
Question
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
Advertisements
Solution
To draw the graph of y = 3x - 1 and y = 3x + 2 follows the steps:
First, prepare a table as below:
| X | - 1 | 0 | 1 |
| Y = 3x -1 | - 4 | - 1 | 2 |
| Y = 3x + 2 | - 1 | 2 | 5 |
Now sketch the graph as shown
:
From the graph it can verify that the lines are parallel.
APPEARS IN
RELATED QUESTIONS
Draw the graph of the equation given below.
2x + y = 1
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:
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:
y = 2x + 3
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:
3x − (5 − y) = 7
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.
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: 2(x - 5) = `(3)/(4)(y - 1)`
