Question

The graph is shown for the equation y = –x + 4. Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? A) y = negative 4 (x + 1) B) y = negative (x + 4) C) y = negative one-half (2 x minus 8) D) y = x + negative 4

Answer 1

C

Explanation:

in order to have an infinite number of solutions for a system of equations the two lines have to be the same line when graphed. C is the same line.

Answer 2

C

Explanation:

We need to form a system of equations with an infinite number of solutions. The only way to satisfy this is to find an equation exactly the same as the first equation.

An equation with the same slope but different y-intercept would have 0 solutions.

An equation with a different slope and y-intercept would result in 1 solution.

Let's simplify the given options to find the right choice.

A) y=-4(x+1)

Distribute

y=-4x-4

B) y=-(x+4)

Distribute

y=-x-4

C) y=-1/2(2x-8)

Distribute

y=-x+4

D) y=x+-4

y=x-4

Therefore, the correct choice is C, as it is the only equation identical to the original equation.