Mathematics
Draw the line 3x + 4y = 12 on a graph paper. From the graph paper, read the y-intercept of the line.
Coordinate Geometry
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Answer
Step 1:
Give at least three suitable values to the variable x and find the corresponding values of y.
Let x = 0, then 3 0 + 4y = 12 ⇒ y = 3
Let x = 1, then 3 1 + 4y = 12 ⇒ y = 2.2
Let x = 4, then 3 4 + 4y = 12 ⇒ y = 0
Step 2:
Make a table (as given below) for the different pairs of the values of x and y:
| x | 0 | 1 | 4 |
|---|---|---|---|
| y | 3 | 2.2 | 0 |
Step 3:
Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph.
From the graph, y-intercept of the line = OB = 3.
Hence, y-intercept of the line = 3.
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Related Questions
For each of the equations given below, find the slope and the y-intercept :
(i) x + 3y + 5 = 0
(ii) 3x - y - 8 = 0
(iii) 5x = 4y + 7
(iv) x = 5y - 4
(v) y = 7x - 2
(vi) 3y = 7
(vii) 4y + 9 = 0
Find the equation of the line, whose :
(i) slope = 2 and y-intercept = 3
(ii) slope = 5 and y-intercept = - 8
(iii) slope = - 4 and y-intercept = 2
(iv) slope = - 3 and y-intercept = - 1
(v) slope = 0 and y-intercept = - 5
(vi) slope = 0 and y-intercept = 0
Draw the line 2x - 3y - 18 = 0 on a graph paper. From the graph paper, read the y-intercept of the line.
For point P(-5, 4):
abscissa = 4, ordinate = -5
ordinate = 4, abscissa = -5
abscissa = ordinate = -5
abscissa = ordinate = 4