Solve the following system by the graphing method: One of the equations is shown in the graph. Find values of x and y that satisfy the other equation and enter them in the table to graph the line. You may need to choose different values if you cannot determine the solution of the system with the points you have chosen. If you would like to use a value in the table that is not a whole number, enter it as a decimal number, not a fraction. Use the two lines to determine the solution of the system. Hint : Remember to check that your solution satisfies both equations.
A) ( 5, 6 )
B) ( 4, 12 )
C) ( 4, 7 )
D) ( 4, 6 )
E) none of the above

Question

Solve the following system by the graphing method:  One of the equations is shown in the graph. Find values of x and y that satisfy the other equation and enter them in the table to graph the line. You may need to choose different values if you cannot determine the solution of the system with the points you have chosen. If you would like to use a value in the table that is not a whole number, enter it as a decimal number, not a fraction. Use the two lines to determine the solution of the system.  Hint : Remember to check that your solution satisfies both equations.
A) ( 5, 6 ) 
B) ( 4, 12 ) 
C) ( 4, 7 ) 
D) ( 4, 6 ) 
E) none of the above

Quizplus · Accepted Answer

From the given graph, we can see that the line passes through the point (4,6) and has a slope of 3. Using this information, we can find the equation of the line to be y = 3x - 6. We can then substitute x = 4 into the other equation to get y = 6, which satisfies both equations. Therefore, the solution to the system is (4,6). None of the other choices satisfy both equations.

Solve the Following System by the Graphing Method: One