Advertisements
Advertisements
Question
Draw a graph of each of the following equations: `(x - 2)/(3) - (y + 1)/(2)` = 0
Solution
`(x - 2)/(3) - (y + 1)/(2)` = 0
⇒ `(x - 2)/(3) - (y + 1)/(2)`
⇒ 2(x - 2) = 3(y + 1)
= 2x - 4 = 3y + 3
⇒ 3y = 2x - 7
⇒ y = `(2x - 7)/(3)`
When x = 2, y = `(2(2) - 7)/(3)` = -1
When x = -1, y = `(2(-1) - 7)/(3)` = -3
When x = -2.5, y = `(2(-2.5) - 7)/(3)` = 4
| x | 2 | -1 | -2.5 |
| y | -1 | -3 | -4 |
Plotting the points (2, -1), (-1, -3) and (-2.5, -4), we get a line AB as shown in the figure.
APPEARS IN
RELATED QUESTIONS
Draw the graph of the equation given below.
x + y = 2
The following table gives production yield in kg per hectare of wheat of 100 farms of a village :
| Production yield (kg/hectare) : |
40−45 | 45−50 | 50−55 | 55−60 | 60−65 | 65−70 |
| Number of farms | 4 | 6 | 16 | 20 | 30 | 24 |
Change the distribution to a 'more than type' distribution, and draw its ogive.
Draw the graph for the linear equation given below:
y + 6 = 0
Draw the graph for the linear equation given below:
y - 2 = 0
Draw the graph for the linear equation given below:
4x - y = 0
Draw the graph for the linear equation given below:
`(x - 1)/(3) - (y + 2)/(2) = 0`
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 each of the following equations: 5x + 2y = 16
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 x + y = 4 and 2x - y = 2 on the same graph. Find the coordinates of the point where they intersect
