Q:

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 = -4B. y - x = -2C. y - 4 = xD. y + 4x = 1

Accepted Solution

A:
Answer:A. y - x = -4Step-by-step explanation:y=x-4To get infinite equations, the equation must be equal to y=x-4We will solve each of these for y to see if they are identicalA. y - x = -4    Add x to each sidey-x+x = x-4y = x-4This is the sameIt will give infinite solutionsB. y - x = -2 y-x+x = x-2y =x-2This is not the same.It is parallel and will give no solutionsC. y - 4 = x y-4+4 = x+4y = x+4This is parallel and will give no solutionsD. y + 4x = 1y +4x-4x = -4x+1This will intersect at a point