Solving Systems of Equations by Graphing

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

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

Back

The (x,y) coordinates satisfy both equations.

Front

How many solutions does a system with two intersecting lines have?

Back

One.

Front

What is the solution to the system of equations represented by the intersection point?

Back

(4, 3).

Front

What is the solution to the system of equations if the lines intersect at (1, 3)?

Back

(1, 3).

Front

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

Back

There is no solution.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection point(s) of the lines on a graph.

Front

What is the significance of the slope in a linear equation?

Back

It represents the rate of change of the equation.

Front

What does the y-intercept represent in a linear equation?

Back

It is the point where the line crosses the y-axis.

Front

How do you find the solution to a system of equations graphically?

Back

By identifying the point where the lines intersect.