Question

The graph for the equation y=x-4 is shown below.



Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions?

A. y - x = -4
B. y - x = -2
C. y - 4 = x
D. y + 4x = 1

Answer 1

Answer:

A. y - x = -4

Step-by-step explanation:

y=x-4

To get infinite equations, the equation must be equal to y=x-4

We will solve each of these for y to see if they are identical

A. y - x = -4  

 Add x to each side

y-x+x = x-4

y = x-4

This is the same

It will give infinite solutions

B. y - x = -2

y-x+x = x-2

y =x-2

This is not the same.

It is parallel and will give no solutions

C. y - 4 = x

y-4+4 = x+4

y = x+4

This is parallel and will give no solutions

D. y + 4x = 1

y +4x-4x = -4x+1

This will intersect at a point

Answer 2

Answer: The correct answer is c.

Step-by-step explanation:

I just answered the question for school