Graphing Systems of Equations

Front

What is a system of equations?

Back

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

Front

What does it mean to graph a system of equations?

Back

It means to plot the equations on the same coordinate plane to find their intersection points.

Front

What is the solution to a system of equations?

Back

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

Front

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

Back

It means there is no solution to the system, as the lines never intersect.

Front

What does it mean if two lines coincide when graphing a system of equations?

Back

It means there are infinite solutions, as the lines are the same.

Front

How do you write an equation in slope-intercept form?

Back

The form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = 3x + 8?

Back

The slope is 3.

Front

What is the y-intercept in the equation y = 3x + 8?

Back

The y-intercept is 8.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

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

Back

Graph each equation on the same coordinate plane.