Question

Which system is the solution of the graph

Answer 1

Explanation:

b

Answer 2

System a.

Explanation:

Remember that the solution of a linear system of equations is shown by the interception point between those lines.

In this case, the interception point is at (2,3).

Also, the horizontal line is
`y=3`. Notice that the solution are is below this line, that means the inequality that represents that part is
`y\leq 3`.

Now, the other line has y-intercept at -1, that means
`b=-1`.

Then, we use two points (0,-1) and (2,3) to find its slope.

`m=(3-(-1))/(2-0)=(4)/(2)=2`

So, the equation that represents that line is
`y=2x-1`.

Notice that the area of solution is above this line, that means the inequality is

`y>2x-1`

Therefore, the sytem that represents the graph is

`y>2x-1\\y\leq 3`

Notice that we used
`\leq` for the solid line and
`>` for the not solid line.