182k views
3 votes
Which of these systems of equations shows the solution for the graph?

Which of these systems of equations shows the solution for the graph?-example-1
User Msrdjan
by
7.5k points

1 Answer

4 votes

Answer:

C)

Explanation:

Note that one of the lines is simply y=-1 for any x, so we can dismiss the only answer without y=-1. That rejected answer is A)

Now let's notice, that the other line is decreasing y when increasing x. That tells us that in the equation y = ax + b, a has to be negative. This brings us to reject option D).

What is the y of that line for x = 0? Because y = ax + b, for x = 0 we will get the value of b. This is called the intercept. The line is at y=4 for x=0, so we know that the b in the equation must be positive 4. This fits answer C, but rejects answer B). And so, we have found that C) is the only possible answer.

User Mostar
by
7.3k points