Advertisements
Advertisements
Question
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.
Advertisements
Solution
First, prepare a table as follows:
| X | –1 | 0 | 1 |
| Y | `-(15)/(4)` | – 3 | `-(9)/(4)` |
The graph of the equation can be drawn as follows:
From the graph, it can verify that
If x = 4 the value of y = 0
If x = 0 the value of y = –3.
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 for the linear equation given below:
2x - 7 = 0
Draw the graph for the linear equation given below:
y + 6 = 0
Draw the graph for the linear equation given below:
y = 2x + 3
For the linear equation, given above, draw the graph and then use the graph drawn (in the following case) to find the area of a triangle enclosed by the graph and the co-ordinates axes:
3x − (5 − y) = 7
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: x + y - 3 = 0
Draw a graph of each of the following equations: x = -3y
Draw the graph of the lines represented by the equations 2x - y = 8 and 4x + 3y = 6 on the same graph. Find the co-ordinates of the point where they intersect.
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.
