Final answer:
The solution to a system of inequalities is a collection of points that satisfy all inequalities in the system, and for linear equations, both y = -3x and y = 0.2 + 0.74x are linear and would graph as straight lines.
Step-by-step explanation:
The solution to a system of inequalities is B. a collection of points that satisfy all inequalities in the system. In other words, when we graph a system of inequalities on a coordinate plane, the solution is the area where the shaded regions of all individual inequalities overlap. Each point in this overlapping region represents a solution to the system because it satisfies all the inequalities at once.
Regarding the practice test question for 12.1 Linear Equations on identifying which equations are linear, a linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. Linear equations graph as straight lines on a coordinate plane. So the correct answers would be:
A. y = -3x - This is a linear equation because it represents a line with a slope of -3 and a y-intercept of 0.
B. y = 0.2 + 0.74x - This is also a linear equation with a slope of 0.74 and a y-intercept of 0.2.
C. y = -9.4 - 2x - Although written in a different form, this is also a linear equation with a slope of -2 and a y-intercept of -9.4.
Therefore, the correct choice is D. A and B, as C is not presented as an option to choose in the original options.