Question

Find graphically the coordinates of the vertices of triangle, whose sides have the equations $y=x-3,2y=x-4andx-4=0.$

• A.
  $(2,-1),(4,1),(4,0)$
• B.
  $(3,-1),(4,1),(4,0)$
• C.
  $(2,-1),(5,1),(4,0)$
• D.
  $(2,-1),(4,1),(0,0)$

Answer 1

The correct option is A

$(2,-1),(4,1),(4,0)$
$y=x-3Whenx=0,theny=-3Wheny=0,thenx=3Hence,Pointsare(0,-3)and(3,0)2y=x-4\Rightarrow y=\frac{(x-4)}{2}Whenx=4,theny=0Whenx=0,theny=-2Hence,pointsare(4,0)and(0,-2)x-4=0\Rightarrow x=4$

Which is a straight line parallel to y-axis and passing through (4,0)