Solving Systems of Linear Equations 2 by Method of Graphing 2

Front

What is a system of linear equations?

Back

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

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have one solution?

Back

The lines representing the equations intersect at exactly one point.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The lines representing the equations are the same line, overlapping completely.

Front

How do you graph a linear equation in slope-intercept form?

Back

Identify the slope (m) and y-intercept (b) from the equation y = mx + b, then plot the y-intercept and use the slope to find another point.

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

The slope is -2/3 after rearranging to slope-intercept form.

Front

How can you determine if two lines are parallel from their equations?

Back

If the slopes of the two lines are equal, the lines are parallel.

Front

What is the graphical representation of the solution to a system of equations?

Back

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

Front

Solve the system of equations: y = 2x + 3 and y = -x + 1.

Back

(−2, −1)

Front

What is the y-intercept of the equation y = 5x - 4?

Back

The y-intercept is -4.