Solve 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 is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a coordinate plane.

Tags

CCSS.5.G.A.1

Front

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

Back

It means there are no solutions, as the lines never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if two lines coincide in 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 graph a linear equation?

Back

You can graph it by finding two or more points that satisfy the equation and connecting them.

Front

What is the slope of a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

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 x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation.