Question

Draw the graph of 2y- 3x+4-0, y=3 and x =6. Identify the figure
formed by intersection of above lines and x-axis. Find its area.​

Answer 1

Given : 2y- 3x+4=0, y=3 and x =6

To find : Draw the graph Identify the figure  formed by intersection of above lines

Find its area.​

Solution:

y= 3

x= 6

intersection points (6,3)

2y-3x +4 = 0

y= 3

x = 10/3

(10/3 , 3)

2y-3x +4 = 0

x= 6

y = 7

(6, 7)

Right angle triangle is formed

all points are above x axis only

Area

(1/2) × (6 -10/3))(7 - 3)

= (1/6)(8)(4)

= 32/6

= 16/3

= 5.33

2y-3x +4 = 0

x    y

-6 -11

-4 -8

-2 -5

0 -2

2 1

4 4

6 7

8 10

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