9/28 Solve Systems by Graphing Practice

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 a system of equations to have no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

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

Back

The point where the graphs of the equations intersect.

Front

How do you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line, they have infinitely many solutions.

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.

Front

How do you find the y-intercept of an equation?

Back

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

Front

What is the solution to the system: 2x + 3y = 6 and x - y = 1?

Back

(3, 0) is the solution.

Front

What does it mean for two lines to be perpendicular?

Back

Their slopes are negative reciprocals of each other.

Front

How can you graph the equation y = 2x + 1?

Back

Start at (0, 1) on the y-axis, then use the slope of 2 to find another point.

Front

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

Back

Rewrite each equation in slope-intercept form (y = mx + b).