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 |
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).
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.
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