Question

Draw the graphs representing the equation 2x - y = 2 and 4x + 3y =24 on the same graph paper. Find the area of the triangle formed by these lines and the X-axis.

Answer 1

Answer:

the area of the triangle is 10 units.

Answer 2

The area of the triangle is 10 units

Step-by-step explanation:

here ,

the given equations are

2x - y = 2 and 4x + 3y =24

plotting the points for the eqautions

2x - y = 2  

for x= 4 we get y =4

coordinate = (3,4)

for x = 1 y = 0

coordinate = (1,0)

for x = 0 y = -2

coordinate = (0,-2)

now ,

4x + 3y =24 plotting the points

for x = 0 y = 8

coordinate = (0,8)

for x = 3 y = 4

coordinate = (3,4)

for x = 6 y = 0

coordinate = (6,0)

now, plotting these points on the graph paper

tehe graph is shown below ,

it is observed from the graph

that the area of traingle formed

base of the triangle = 5 units

and height of the triangle = 4 units

then ,

area of triangle = $\frac{1}{2}\times base\times height$

= $\frac{1}{2}\times 5\times 4$

= 10 units

hence ,

The area of the triangle is 10 units

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