solving systems by graphing

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 to have no solution?

Back

It means the lines representing the equations are parallel and never intersect.

Front

What is the solution to a system of equations?

Back

The point where the graphs of the equations intersect.

Front

What is slope-intercept form?

Back

A way of writing linear equations in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points?

Back

Use the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean if two lines are parallel?

Back

They have the same slope but different y-intercepts.

Front

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

Back

Convert both equations to slope-intercept form.

Front

How can you tell if a system has infinitely many solutions?

Back

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

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.