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
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
Draw the graph for the linear equation given below:
x - 5 = 0
Draw the graph for the linear equation given below:
y = 4
Draw the graph for the linear equation given below:
y + 6 = 0
Draw the graph for the linear equation given below:
y = 0
Draw the graph for the linear equation given below:
x = - 2y
Draw the graph for the equation given below:
`(1)/(2) x + (2)/(3) y = 5`.
The graph of 3x + 2y = 6 meets the x=axis at point P and the y-axis at point Q. Use the graphical method to find the co-ordinates of points P and Q.
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.