Question

Use single graph paper and draw the graph of the following equations. Obtain the vertices of the triangles so obtained: $2y-x=8$, $5y-x=14$ and $y-2x=1$

• A. (1,6),(3,-7) and (5,3)
• B. (1,5),(3,4) and (1,-5)
• C. (2,6),(-2,3) and (2,8)
• D. (-4,2),(1,3) and (2,5)

Answer 1

The correct option is D (-4,2),(1,3) and (2,5)

$2y-x=8$
$x=2y-8$

x	-4	2	4
y	2	5	6

$5y-x=14$
$x=5y-14$

x	1	6	-4
y	3	4	2

and $y-2x=1$
$y=2x+1$

x	0	1	2
y	1	3	5

Vertices of triangle bounded by these lines is $(-4,2),(1,3)$ and $(2,5)$