Solving Systems by Graphing

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system by graphing?

Back

Solving a system by graphing involves plotting the equations on a graph and identifying the point(s) where they intersect, which represents the solution.

Front

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

Back

Front

How do you find the slope from two points?

Back

Front

What is the y-intercept of a line?

Back

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, meaning there is no solution to the system.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.

Front

How can you convert an equation to slope-intercept form?

Back

Front

Back

The solution is the intersection point (1, 3).

Front

What is the graphical representation of a system with no solution?

Back

A system with no solution is represented graphically by two parallel lines that never intersect.