Advertisements
Advertisements
Question
Draw a graph of each of the following equations: 5x + 2y = 16
Advertisements
Solution
5x + 2y = 16
⇒ 2y = 16 - 5x
⇒ y = `(16 - 5x)/(2)`
When x = 2, y = `(16 - 5(2))/(2)` = 3
When x = 4, y = `(16 - 5(4))/(2)` = -2
When x = 6, y = `(16 - 5(6))/(2)` = -7
| x | 2 | 4 | 6 |
| y | 3 | -2 | -7 |
Plotting the points (2, 3), (4, -2) and (6, -7), we get a line AB as shown in the figure.
APPEARS IN
RELATED QUESTIONS
Draw the graphs of the following equations on the same system of co-ordinates. Write the co-ordinates of their points of intersection.
x + 4 = 0, y - 1 = 0, 2x + 3 = 0, 3y - 15 = 0
Draw the graph of the equation given below.
x + y = 2
Draw the graph for the linear equation given below:
y = 4
Draw the graph for the linear equation given below:
4x - y = 0
Draw the graph for the linear equation given below:
2x - 3y = 4
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
Draw the graph of equation 3x – 4y = 12. Use the graph drawn to find:
- y1, the value of y, when x = 4.
- y2, the value of y, when x = 0.
Draw a graph of each of the following equations: 3x - 2y = 6
Draw a graph of each of the following equations: x = -3y
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.
