Systems of Equations - Graphing

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

How many solutions does a system of equations with parallel lines have?

Back

No solution.

Front

Solve for x and y: y = 2/3x - 2 and y = -x + 3.

Back

(3, 0)

Front

How many solutions does the system of equations y = 2x + 3 and y = -4x + 3 have?

Back

One solution.

Front

How many solutions does a system of equations with the same line have?

Back

Infinitely many solutions.

Front

What is a system of equations?

Back

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

Front

What does it mean for two lines to be intersecting in a graph?

Back

They have one solution, where they cross each other.

Front

What is the solution of a system of equations represented graphically?

Back

The point(s) where the lines intersect.

Front

What is the significance of the slope in a linear equation?

Back

It indicates the steepness and direction of the line.

Front

What does it mean if two lines are skew?

Back

They do not intersect and are not parallel, existing in different planes.