Question

Select all statements that are true about the linear equation. y=12x−4y=12x-4 The graph of the equation is the set of all points that are solutions to the equation. The point (−6,7)(−6,7) is on the graph of the equation. The graph of the equation is a single point representing one solution to the equation. The point (−4,−6)(−4,−6) is on the graph of the equation.

Answer 1

I think the answer is A,B, and D.
Where these the answers?

Answer 2

The graph of the equation is the set of all points that are solutions to the equation.

Explanation:

The given equation is

`y=12x-4`

The true statement is the first one, because the graph of an equation always represent all points that are solutions. That is, all solutions for this equation are all the points placed on the line. The graph of the given linear equation is attached.

You can see in the graph that the points (-6,7) and (-4,-6) are not solutions for this equation, because they aren't on the line.

Also, you can see that the equation represents an infinite line, that is, the equation doesn't have a single solution.

Therefore, the true statement is the first one.