Question

PLEASE HELP, WILL MARK BRAINLIEST - Jessie graphed one of the lines in a system of equations: y=3x-2. If the system has an infinite number of solutions, which statements are true? CHECK ALL THAT APPLY (Not just one answer)
☐ Any point in the coordinate plane is a solution because it has an infinite number of solutions.

☐ Point (1, 1) is a solution because it is one of the points on the line already graphed.

☐ It is impossible to tell if (–1,–5) is a solution without seeing the other line graphed.

☐ Point (20, 58) is a solution because it results in a true statement when the point values are substituted into the equation of the line.

☐ When the other line in the system is graphed, it will share all points with the line already graphed.

Answer 1

Answer:

The correct options are 2, 4, 5.

Step-by-step explanation:

It is given that the system of equations has an infinite number of solutions. It is  possible when both equations represents the same line.

One of the lines in a system of equations:

$y=3x-2$

It means another line has same equation.

All the points lie on the line are the solution of the system of equations. So, option 1 is incorrect.

From the given graph it is clear that the point (1,1) lies on the line already graphed. So, the point (1, 1) is a solution and option 2 is correct.

Put x=-1 in the given equation.

$y=3(-1)-2=-5$

The point (-1,-5) is a solution. So, option 3 is incorrect.

Put x=20 in the given equation.

$y=3(20)-2=58$

The point (20,-58) is a solution. So, option 4 is correct.

Since both lines has same equation, therefore when the other line in the system is graphed, it will share all points with the line already graphed.  Option 5 is correct.

Answer 2

B, D, and E are all correct. The line is coinciding.