Question 88·Easy·Systems of Two Linear Equations in Two Variables
The graph of a system of two linear equations is shown.
Which choice is the solution to the system?
For systems shown on a graph, do not try to solve by substitution or elimination unless you are given equations. Just locate the intersection of the two lines and carefully read its - and -coordinates from the grid.
Hints
Find where the lines meet
Look for the single point where the two lines cross.
Read the x-coordinate
From the intersection point, read the horizontal value on the -axis.
Read the y-coordinate
From the intersection point, read the vertical value on the -axis.
Desmos Guide
Enter each line
From the graph, pick two clear points on each line. For example, one line passes through and , and the other passes through and . Use these to write equations and type them into Desmos as and .
Find the intersection
Click the point where the two graphed lines intersect. Read the ordered pair shown for that intersection.
Step-by-step Explanation
Identify the solution on the graph
For a system of two linear equations, the solution is the point where the two lines cross (their intersection).
Read the coordinates of the intersection
From the graph, the intersection point is at , so the solution to the system is .