Use the image to answer the question. In math class, Emma and Angelle pair as a group. Emma’s task is to graph (72)x−(92)=2y and Angelle’s task is to graph 4y=7x−9 . After they complete their graphs, they compare their work. They both get exactly the same graph. What is the solution of (72)x−(92)=2y and 4y=7x−9 ? (1 point) Responses no solution no solution an infinite number of solutions an infinite number of solutions (1.286,0) and (0,−2.25) left parenthesis 1.286 comma 0 right parenthesis and left parenthesis 0 comma negative 2.25 right parenthesis (1.286,0)

Answer 1

Given that both Emma and Angelle graphed the equations (72)x − (92) = 2y and 4y = 7x − 9 and found them to be exactly the same, this indicates that the equations are equivalent and thus represent the same line. Therefore, they have an infinite number of solutions, as any point on the line is a solution to both equations.

The correct response is:

an infinite number of solutions.