Question

1. look at the given graph. it shows a system of linear equations. how many solutions does this system have? 1, infinitely many, 0, 2

Explanation:

Step1: Recall System of Linear Equations

A system of linear equations' solutions depend on the lines' relationship. If two lines are the same (coinciding), they have infinitely many solutions (all points on the line are solutions). If they are parallel, 0 solutions. If they intersect at one point, 1 solution.

Step2: Analyze the Graph

The graph shows only one line (or two coinciding lines, as it's a single line representation for the system). For a system with coinciding lines, every point on the line is a solution, so there are infinitely many solutions.

Answer:

infinitely many