Question 14 Marks
Draw the graph of the equation x + 2y - 3 = 0
From your graph, find the value of y when,
From your graph, find the value of y when,
- x = 5
- x = -5.
Answer
View full question & answer→Given equation:
Now plot the point (3, 0), (1, 1) and (-1, 2) on the graph paper. Join the points and extend the line in both the directions. The line segment is the required graph of the equation.
x + 2y - 3 = 0
or, x + 2y = 3
When y = 0, x + 0 = 3 ⇒ x = 3 When y = 1, x + 2 = 3 ⇒ x = 3 - 2 = 1 When y = 2, x + 4 = 3 ⇒ x = 3 - 4 = -1 Thus, we have the following table:| x | 3 | 1 | -1 |
| y | 0 | 1 | 2 |
$\text{y}=\frac{3-\text{x}}{2}$
$\Rightarrow\text{y}=\frac{3-5}{2}$
$\text{y}= -1$
Similarly, from the graph we can see that when x = -5, y = 4.