Final answer:
The provided answer choices do not match with the solution range from the graph described. Based on the graphs' points and slope calculations, both options (12, 0), (1, 1), (12, 1), and (13, 0) are outside the x-axis range described. Thus, none of these points can be the best estimate for the solution to the system of equations.
Step-by-step explanation:
To solve the system of linear equations given by the graph, one would typically find the point where the two lines intersect. This point of intersection represents the solution to the system, meaning it is the set of x and y values that satisfy both equations simultaneously. From the description, the lines intersect at a point that is not among the provided options since the x-axis ranges from -5 to 5, and the provided options have x-values outside of this range. To determine which of the given options is the best estimate, we can use the points on the graph to write the equations of the lines.
The first line passes through (0, 2) and (1, -1), so we can determine the slope (m) as:
(-1 - 2) / (1 - 0) = -3.
Since it passes through (0, 2), the y-intercept (b) is 2. Thus, the equation is y = -3x + 2.
The second line passes through (0, -1) and (2, 2), so for this one:
(2 - (-1)) / (2 - 0) = 1.5.
Since it passes through (0, -1), the y-intercept is -1. The equation is y = 1.5x - 1.
By looking for a point of intersection within the range of the graph, we'll notice that none of those given is likely to be correct. Therefore, we can conclude there might be an error either in the question or the answer choices.