Solving Systems of Linear Equation Graphically

Front

What is a system of linear equations?

Back

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

Front

What does it mean to solve a system of equations graphically?

Back

Solving a system of equations graphically means plotting the equations on a graph and identifying the point(s) where the lines intersect, which represents the solution.

Front

Back

The solution is the point where the two lines intersect, which can be found by graphing.

Front

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

Back

Front

Back

Front

Back

The y-intercept is 5, which is the point where the line crosses the y-axis.

Front

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

Back

If two lines are parallel, 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 coincident when solving a system of equations?

Back

If two lines are coincident, they lie on top of each other and have infinitely many solutions.

Front

Back

The solution is the point where the two lines intersect, which can be found by graphing.

Front

How do you determine the x-coordinate of the intersection point of two lines?

Back

Set the equations equal to each other and solve for x.