Advertisements
Advertisements
Question
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?
Advertisements
Solution
First, prepare a table as follows:
| X | -1 | 0 | 1 |
| Y = 2x - 1 | -3 | -1 | 1 |
| Y = 2x | -2 | 0 | 2 |
| Y = 2x + 1 | -1 | 1 | 3 |
Now the graph can be drawn as follows:
The lines are parallel to each other.
APPEARS IN
RELATED QUESTIONS
Draw the graph for the linear equation given below:
x = 3
Draw the graph for the linear equation given below:
y = 0
Draw the graph for the linear equation given below:
3x + 2y = 0
Draw the graph for the each linear equation given below:
y = `(3x)/(2) + (2)/(3)`
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`
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 = x - 3
y = - x + 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 5x - 3y = 1. From the graph find the value of:
(i) x, when y = 8
(ii) y, when x = 2
Draw the graph of the lines represented by the equations 3x - 2y = 4 and x + y = 3 on the same graph. Find the coordinates of the point where they intersect. State, whether the lines are perpendicular to each other.
