Question

Area of triangle formed by line x+y+2=0 with coordinate axes

Answer 1

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

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

hope this helps you......

Answer 2

Answer:

given line is

x+y+2=0

.'. x+y=-2. ..1

on y axis x is 0

from equation 1

y= -2

and similarly on x axis

x= -2

as we know at the origin, angle angle is 90°

therefore area of triangle =1/2 ×hight ×base

=1/2 ×2×2

=2 unit²

this is your answer hope it helps to you☺️