Advertisements
Advertisements
Question
Draw a graph of each of the following equations: 3x - 2y = 6
Solution
3x - 2y = 6
⇒ 2y = 3x - 6
⇒ y = `(3x - 6)/(2)`
when x = 2, y = `(3(2) - 6)/(2)` = 0
when x = 4, y = `(3(4) - 6)/(2)` = 3
when x = 2, y = y = `(3(-2) - 6)/(2)` = -6
| x | 2 | 4 | -2 |
| y | 0 | 3 | -6 |
Plotting the point (2, 0), (4, 3) and (-2, -6), we get a line AB as shown in the figure.
APPEARS IN
RELATED QUESTIONS
Draw the graph for the linear equation given below:
x = 0
Draw the graph for the linear equation given below:
5x+ y = 0.
Draw the graph for the linear equation given below:
y = `4x - (5)/(2)`
Draw the graph for the equation given below:
2x - 5y = 10
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.
3x + 4y = 24
`x/(4) + y/(3) = 1`
On the same graph paper, plot the graph of y = x - 2, y = 2x + 1 and y = 4 from x= - 4 to 3.
Draw a graph of each of the following equations: 2(x - 5) = `(3)/(4)(y - 1)`
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
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.
