Question

c. Describe the solution set for the system of equations that consists of the equation of the line shown and x minus 2 y equals negative 2.
A.
The solution set is
  
enter your response here. ​(Type an ordered​ pair.)
B.
There are infinitely many solutions.
C.
There is no solution.

Answer 1

I don't have the picture of the line you mention. To answer I need either the equation of the shown line or two points on it (or you can upload the graph).

Quick guide so you can decide:

- Put x − 2y = −2 into slope–intercept form: x − 2y = −2 → −2y = −x − 2 → y = (1/2)x + 1. So this line has slope 1/2 and y-intercept 1.
- If the shown line has slope 1/2 and y-intercept 1 (i.e. it is exactly the same line), then answer B: there are infinitely many solutions.
- If the shown line has slope 1/2 but a different intercept (parallel distinct line), then answer C: no solution.
- Otherwise (different slope), the two lines intersect in exactly one point; answer A with that ordered pair (you can find it by solving the two equations).

If you give the shown line’s equation or two points from the graph (for example, the coordinates of two grid points the line passes through), I will compute the correct choice and the intersection point if there is one.