Solutions on a graph

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations true simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How can you estimate the solution of a system of linear equations from a graph?

Back

You can estimate the solution by identifying the point where the two lines intersect on the graph.

Tags

CCSS.8.EE.C.8B

Front

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

Back

If two lines are parallel, it means they have no points in common and thus no solution to the system of equations.

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 are the same line and there are infinitely many solutions to the system of equations.

Tags

CCSS.8.EE.C.8A

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Tags

CCSS.8.EE.B.5

Front

How do you find the intersection point of two lines algebraically?

Back

To find the intersection point, solve the system of equations simultaneously using substitution or elimination methods.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a linear equation?

Back

A linear equation is represented graphically as a straight line on a coordinate plane.

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution if the lines representing the equations are parallel and do not intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the significance of the point (x, y) in the context of a graph?

Back

The point (x, y) represents a specific solution to the equations being graphed, indicating the values of the variables.

Tags

CCSS.8.EE.C.8B