Advertisements
Advertisements
Question
Draw the graph of the equation given below.
3x - y = 0
Solution
The equation of the given line is 3x − y = 0.
∴ 3x − y = 0
⇒ y = 3x ...(1)
Putting x = 0 in (1), we get
y = 3 × 0
y = 0
Putting x = 1 in (1), we get
y = 3 × 1
y = 3
Putting x = −1 in (1), we get
y = 3 × (−1)
y = −3
Putting x = 2 in (1), we get
y = 3 × 2
y = 6
These values can be represented in the table in the form of ordered pairs as follows:
| x | 0 | 1 | -1 | 2 |
| y | 0 | 3 | -3 | 6 |
| (x, y) | (0, 0) | (1, 3) | (-1, -3) | (2, 6) |
The line is the graph of the equation 3x − y = 0.
APPEARS IN
RELATED QUESTIONS
Draw the graph for the linear equation given below:
x = 3
Draw the graph for the linear equation given below:
x + 3 = 0
Draw the graph for the linear equation given below:
y = 2x + 3
Draw the graph for the linear equation given below:
y = - x + 4
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.
Find if the following points are collinear or not by using a graph:
(i) (-2, -1), (0, 3) and (1, 5)
(ii) (1, 3), (-2, -4) and (3, 5)
(iii) (2, -1), (2, 5) and (2, 7)
(iv) (4, -1), (-5, -1) and (3, -1)
Draw a graph of each of the following equations: `(x - 2)/(3) - (y + 1)/(2)` = 0
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 for each of the following equations and find the coordinates of the points where the line drawn meets the x-axis and y-axis: 2x + 3y = 12
Draw a graph for each of the following equations and find the coordinates of the points where the line drawn meets the x-axis and y-axis: `(2x)/(5) + y/(2)` = 1
