System of Equations from Graphs

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations that have the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

In a graph, what does the x-axis typically represent?

Back

The x-axis typically represents the independent variable, such as time or weeks.

Tags

CCSS.HSF.IF.B.4

Front

In a graph, what does the y-axis typically represent?

Back

The y-axis typically represents the dependent variable, such as earnings or distance.

Front

What does it mean if two lines on a graph are parallel?

Back

If two lines are parallel, it means they have no solution as they never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if two lines on a graph coincide?

Back

If two lines coincide, it means they have infinite solutions as they are the same line.

Tags

CCSS.8.EE.C.8A

Front

How do you find the solution to a system of equations graphically?

Back

The solution is found at the point where the two lines intersect on the graph.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system of equations represented by the lines y = 2x + 1 and y = 2x - 3?

Back

No Solution (the lines are parallel).

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system of equations represented by the lines y = x + 2 and y = -x + 4?

Back

One Solution: (1, 3) (the lines intersect at this point).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

If a system of equations has no solution, what does that indicate about the lines?

Back

It indicates that the lines are parallel and will never intersect.

Tags

CCSS.8.EE.C.8A

Front

If a system of equations has infinite solutions, what does that indicate about the lines?

Back

It indicates that the lines are the same line, coinciding at every point.

Tags

CCSS.8.EE.C.8A