Question

For the graph shown, select the statement that best represents the given system of equations. 3y – x = 2 9y – 3x = 6

Help Please Thank You

Answer 1

You can find that out by first putting two equations in slope-intercept form y=mx+b by solving for y.
3y - x = 2
3y = x+2
y = (1/3)x + 2/3

9y = 3x + 6
y = (3/9)x + 6/9
y = (1/3)x + 2/3

They are the same line as you can see in the final step.
Since the two lines are the same line, (they "coincide") they are coincident.
Coincident means there are an infinite number of solutions, and since they are the same line, there are an infinite number of solutions.