Solving Systems by Graphing

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

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

It means to find the point(s) where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

It means the system has no solutions, as the lines never intersect.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if two lines coincide when graphing a system of equations?

Back

It means the system has infinitely many solutions, as the lines overlap completely.

Tags

CCSS.8.EE.C.8A

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = 1/2x + 2?

Back

The slope is 1/2.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the equation y = -3x + 9?

Back

The y-intercept is 9.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3