Solving Systems of Equations by Graphing

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations by graphing?

Back

Solving a system of equations by graphing involves plotting the equations on a coordinate plane and identifying the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to a system of equations?

Back

The solution to a system of equations is the set of values for the variables that satisfy all equations in the system simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane.

Front

How do you find the intersection point of two lines?

Back

To find the intersection point of two lines, solve the equations simultaneously to find the values of the variables that satisfy both equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if two lines are parallel in a system of equations?

Back

If two lines are parallel, it means they have the same slope and will never intersect, indicating that the system has no solution.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if two lines are coincident in a system of equations?

Back

If two lines are coincident, they lie on top of each other, meaning they have infinitely many solutions.

Tags

CCSS.8.EE.C.8A

Front

What is the slope-intercept form of a linear equation?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine the slope of a line from two points?

Back

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back