Solving Systems by Graphing (already in y=)

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 solve a system of equations by graphing?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the slope from an equation in slope-intercept form?

Back

Front

What is the y-intercept of a linear equation?

Back

Front

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

Back

Start at the y-intercept (0, b) and use the slope (rise/run) to find another point.

Front

What does it mean if two lines are parallel?

Back

It means they have the same slope and will never intersect.

Front

What does it mean if two lines are perpendicular?

Back

It means their slopes are negative reciprocals of each other.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into each equation; if both equations are true, the point is a solution.