Solve the system by graphing:
\[
\left\{\begin{array}{l}
y=-\frac{7 x}{2}+9 \\
2 x-y=2
\end{array}\right.
\]
(Plot both lines and the point of intersection by moving the dots to the correct location.)

Provide your answer below:
1 Previous

Step 1 ：Rewrite the given equations in slope-intercept form (y = mx + b). The first equation is already in this form: \(y = -\frac{7}{2}x + 9\)

Step 2 ：The second equation can be rewritten as: \(y = 2x - 2\)

Step 3 ：Graph the first line which has a slope of -7/2 and a y-intercept of 9. This means the line starts at the point (0,9) on the y-axis and for every 2 units you move to the right, you move 7 units down.

Step 4 ：Graph the second line which has a slope of 2 and a y-intercept of -2. This means the line starts at the point (0,-2) on the y-axis and for every 1 unit you move to the right, you move 2 units up.

Step 5 ：By graphing these two lines, we can see that they intersect at the point (2,2).

Step 6 ：So, the solution to the system of equations is \(\boxed{(2,2)}\)