A linear system asks for a point that satisfies two equations at once. On a graph, the intersection lies on both lines, so a marked crossing gives you the solution without redrawing the lines in Desmos. Read the horizontal -coordinate, then the vertical -coordinate. Watch the sign of and keep the coordinates in that order.
Hints
- Hint 1
A solution to two graphed equations must lie on both lines. Look for where the lines cross, not where either line crosses an axis.
- Hint 2
An ordered pair puts the horizontal coordinate first. Is the marked point left or right of the vertical -axis? Then look at how high it is.
Step-by-step
Read the marked intersection
Step 1Identify the solution point
No Desmos needed. Read the marked intersection on the graph. The intersection is where the lines cross. The filled dot lies on both lines, so it is the point that solves the system. A point where only one line crosses an axis won't do.
- Step 2
Read the horizontal coordinate
The dot is one tick left of the -axis, so its horizontal coordinate is . Left of that axis means negative , not positive .
- Step 3
Read the vertical coordinate and form the pair
The dot is three ticks above the -axis, so . An ordered pair lists first and second. The solution is . Choice A.