Mathematics
Use the table given alongside to draw the graph of a straight line. Find, graphically, the values of a and b.
x | 1 | 2 | 3 | a |
---|---|---|---|---|
y | -2 | b | 4 | -5 |
Coordinate Geometry
13 Likes
Answer
Steps of construction :
Plot the points (1, -2) and (3, 4) on graph paper.
Connect the points through a straight line.
Take a point C (x = 2) and draw a line parallel to y-axis touching the graph at point B.
From point B draw a line parallel to x-axis and touching y-axis at point A (y = 1).
![Use the table given alongside to draw the graph of a straight line. Find, graphically, the values of a and b. Coordinate Geometry, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.](https://cdn1.knowledgeboat.com/img/mla9/q7-c19-ex-19-2-coordinate-geometry-ml-aggarwal-solutions-icse-class-9-1200x740.png)
From graph,
B = (2, 1)
Comparing it with (2, b) we get :
b = 1.
Also, the graph touches y-axis at (0, -5).
Comparing it with (a, -5) we get :
a = 0.
Hence, a = 0 and b = 1.
Answered By
6 Likes
Related Questions
Draw the graph of the equation y = 3x - 4. Find graphically
(i) the value of y when x = -1
(ii) the value of x when y = 5.
The graph of a linear equation in x and y passes through (4, 0) and (0, 3). Find the value of k if the graph passes through (k, 1.5).
Solve the following equations graphically :
3x - 2y = 4, 5x - 2y = 0.
Solve the following pair of equations graphically. Plot atleast 3 points for each straight line.
2x - 7y = 6, 5x - 8y = -4.