Graphing Systems of Equations

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 graph a system of equations?

Back

It means to plot the equations on the same coordinate plane to find their intersection points.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

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

Back

It means there is no solution to the system, as the lines never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

It means there are infinite solutions, as the lines are the same.

Tags

CCSS.8.EE.C.8A

Front

How do you write an equation in slope-intercept form?

Back

The form is 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 in the equation y = 3x + 8?

Back

The slope is 3.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y = 3x + 8?

Back

The y-intercept is 8.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the first step in solving a system of equations by graphing?

Back

Graph each equation on the same coordinate plane.

Tags

CCSS.8.EE.C.8B