Question

match the graphs with their solutions. each graph has two linear equations graphed. drag & drop the answer no solution (1, 5) (2, 1) (5, 1) (1, 2) infinitely many solutions

Explanation:

for First Graph (Parallel Lines):

Step1: Analyze line relationship

Parallel lines (same slope, different y - intercepts) have no intersection. So the solution for the first graph (with two parallel lines) is "No Solution".

Step2: Analyze second graph (Intersecting Lines)

Find the intersection point. By looking at the coordinates where the two lines cross, we identify the point. If the lines intersect at (1, 5), (2, 1), (5, 1), or (1, 2), we match it. For the second graph (non - parallel, intersecting lines), we check the intersection. Let's assume from the graph, the intersection is (1, 5) (or other correct point based on graph, but here we follow the logic).

Step3: Analyze third graph (Coinciding Lines)

Coinciding lines (same slope, same y - intercept) have infinitely many solutions as every point on one line is on the other. So the third graph (two coinciding lines) has "Infinitely Many Solutions".

Answer:

for First Graph:
No Solution