Question

What is the point of intersection when the system of equations below is graphed on the coordinate plane?
x-y=1
y-x=1
A) no intersection point
B)infinite intersection points
C)(1, 0)
D)(–1, 0)

Answer 1

B)infinite intersection points

Answer 2

Answer with explanation:

  The two system of equation which are graphed on coordinate plane :

→x -y =1

y=x-1

→y-x=1

y=x+1

⇒Comparing with Slope intercept form of Line which is y= m x +c,

→m=1 for both the lines

As, the two lines has same slope , so they are parallel.Parallel lines never Intersect.

⇒The two system of equation have no solution as:

   $\frac{1}{-1}= \frac{-1}{1}\neq \frac{1}{1}$

Option A:→ No Intersection Point