Consider these two tables for Line 1 and Line 2.
Line 1:
x | y
0 1
3 4
Line 2:
x | y
0 0
2 4
(a) Graph Line 1 (already did this)
(b) Graph Line 2 on the same graph (already did this)
(c) What is the solution to the system? Use graphing to solve. Explain your answer.
the solution is the intersection of the lines
To find the solution to the system of equations represented by the tables, we can analyze the graphs of Line 1 and Line 2 and determine the point(s) of intersection.
(a) Graph Line 1:
The points given in the table for Line 1 are (0,1) and (3,4). We can now plot these points on a coordinate plane and connect them to form a line.
(b) Graph Line 2:
The points given in the table for Line 2 are (0,0) and (2,4). Similarly, we plot these points on the same coordinate plane and connect them to form a line.
(c) Finding the Solution by Graphing:
To find the solution to the system, we need to analyze the intersection point(s) of Line 1 and Line 2 on the graph. In this case, we can see that Line 1 and Line 2 intersect at the point (2,4).
Therefore, the solution to the system of equations represented by the tables is x = 2 and y = 4, as they both satisfy both equations simultaneously.
In summary, the solution to the system of equations is x = 2 and y = 4. By graphing Line 1 and Line 2 on the same graph, we identify the point of intersection as the solution.