Question

the area of the triangle formed by the coordinate axes and the line x+y=6 is ? square unit ​

Answer 1

Hope it is helpful

Mark me as brainlist

Answer 2

Answer: 18 sq. units

Step-by-step explanation:

We have a line x+y= 6  

Now for x and y intercept

Let x= 0

0+y= 6

y=6   Therefore (0,6) is the solution of the given equation

Now

Let y=0

x+0=6

x=6 Therefore (6,0) is the solution of the  given equation

Plotting the graph which is attached below

we have triangle with base; b= 6 units and height ;h = 6 units

$\text { ar of triangle } = \dfrac{1}{2} \times base \times height = \dfrac{1}{2} \times 6 \times 6 = 18sq. units$

Hence, the area of triangle formed by the coordinate axes and the line x+y = 6 is 18 sq. units