Question 70·Easy·Systems of Two Linear Equations in Two Variables
The graph of a system of two linear equations is shown. Which choice gives the solution to the system?
On easy graph-based systems questions, do not try to write equations unless you have to. Go straight to the intersection point of the two lines and carefully read its - and -coordinates from the grid, watching for negative signs.
Hints
Find where the lines meet
Look for the single point where the two lines cross.
Read first, then
From the intersection point, read the horizontal value (the -coordinate) and then the vertical value (the -coordinate).
Use the grid lines
Check which grid lines the marked point lies on to avoid a sign mistake.
Desmos Guide
Pick two points on each line
Using the graph, choose two clear grid-intersection points that each line passes through.
Enter each line in Desmos
For each line, compute its slope from your two points, then enter an equation in the form that goes through one of the points.
Find the intersection
Click the point where the two graphed lines intersect in Desmos, and read the coordinates shown.
Step-by-step Explanation
Identify what to look for
For a system of two linear equations, the solution is the point where the two lines cross (their intersection).
Read the intersection’s coordinates
From the graph, read the -coordinate and then the -coordinate of the marked intersection point. This corresponds to the ordered pair , so the solution is .