Question

two linear equations are graphed below. which point represents a solution to both equations? choose one point by clicking the appropriate circle. y = 2x - 4 y = - ( \frac { 1 } { 2 } ) x + 3

Explanation:

Step1: Recall the concept of the solution of a system of linear equations

The solution of a system of linear equations is the point where the two lines intersect.

Step2: Identify the intersection point from the graph

By observing the graph, the intersection point of the two lines \(y = 2x - 4\) and \(y=-\frac{1}{2}x + 3\) is the point that satisfies both equations.

Answer:

The point where the two lines cross each other (the intersection point) is the solution. From the graph, that is the middle - circle (the one that lies on both lines).