The graph of a system of linear equations is shown.
Which choice is the solution to the system?
For graph-based systems, the solution is simply the intersection of the two lines. Locate the crossing point first, then read from the horizontal axis and from the vertical axis carefully using the grid.
Hints
Look for where the lines cross
Find the single point that lies on both lines.
Read coordinates carefully
From that point, read the -value from the horizontal axis and the -value from the vertical axis.
Use the grid lines
Check which numbered grid lines the intersection point is directly above and directly to the right of.
Desmos Guide
Enter the two lines
In Desmos, enter the equations shown by the graph: and .
Find the intersection
Click on the point where the two lines cross to display the intersection coordinates.
Match to a choice
Use the ordered pair shown for the intersection and select the answer choice that matches it exactly.
Step-by-step Explanation
Use the meaning of a solution to a system
For a system of two linear equations, the solution is the ordered pair where the two lines intersect on the graph.
Read the intersection point
The two lines intersect at , so the solution is .