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प्रश्न
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
उत्तर
2x + 3y = 12
⇒ 3y = 12 - 2x
⇒ y = `4 - (2)/(3) x`
When x = 3, y = `4 - (2)/(3)(3)` = 2
When x = -3, y = `4 - (2)/(3)(-3)` = 6
When x = 6, y = `4 - (2)/(3)(6)` = 0
| x | 3 | -3 | 6 |
| y | 2 | 6 | 0 |
Plotting the points (3, 2), (-3, 6) and (6, 0), we get a line segment as shown in the figure.
The line meets the x-axis at (6, 0) and y-axis at (0, 4).
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संबंधित प्रश्न
Draw the graph of the equation given below.
x + y = 2
Draw the graph for the linear equation given below:
x = 3
Draw the graph for the linear equation given below:
y - 2 = 0
Draw the graph for the linear equation given below:
5x+ y = 0.
Draw the graph for the equation given below:
`(2x - 1)/(3) - (y - 2)/(5) = 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.
2x - 3y = 6
`x/(2) + y/(3) = 1`
Draw the graph of equation `x/(4) + y/(5) = 1` Use the graph drawn to find:
(i) x1, the value of x, when y = 10
(ii) y1, the value of y, when x = 8.
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 the equation 3x - y = 7. From the graph find the value of:
(i) y, when x = 1
(ii) x, when y = 8
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.
