Two lines represented by the linear Equation x+y=5 and x-y=5 .represent them graphically and determine the coordinates of points a,b,c where a is a point of intersection of lines and b and c are the points where these lines intersects y axis . also find the area of the triangles formed by them
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( 5 , 0) , (0, 5) , (0 , - 5) are intersection points , Area of Triangle formed = 25 sq units
Step-by-step explanation:
x + y = 5
x - y = 5
2x = 10
=> x = 5
& y = 0
a = (5 , 0) is intersection point of x + y = 5 & x - y = 5
intersecting y axis => x = 0
b = ( 0 , 5) & c = (0 , -5) are intersectiion points of y axis with x + y = 5 & x - y = 5respectiveny
Area of ( 5 , 0) , (0, 5) , (0 , - 5)
= (1/2) | 5(5 -(-5)) + 0(-5 - 0) + 0(0 - 5) |
= (1/2) | 5* 10 + 0 + 0 |
= 25
Area of Triangle formed = 25 sq units
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