Question 169·Easy·Algebra

From the intersection point, trace straight to the $x$-axis to read $x$, and trace straight to the $y$-axis to read $y$.

Make sure you choose the point in the form $(x,y)$, where $x$ comes first.

In Desmos, plot the labeled points on the increasing line: (0,1) and (3,7). Then plot the labeled points on the decreasing line: (0,7) and (7,0).

Find the slope of the increasing line from the two points: $m=\frac{7-1}{3-0}=2$, so enter y=2x+1.

For the decreasing line, the slope is $m=\frac{0-7}{7-0}=-1$, so enter y=-x+7.

Click the point where the two lines intersect. The intersection coordinates shown by Desmos match the correct choice.

For a system of two linear equations, the solution is the point where the two lines intersect on the graph. Reading the grid at the intersection gives $x=2$ and $y=5$.

Therefore, the solution to the system is $(2,5)$.