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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
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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 for the linear equation given below:
y = - x
Draw the graph for the linear equation given below:
y = 2x + 3
Draw the graph for the linear equation given below:
y = `(2x)/(3) - 1`
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
On the same graph paper, plot the graph of y = x - 2, y = 2x + 1 and y = 4 from x= - 4 to 3.
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?
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 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.
