Solving Systems by Graphing

Front

What is the solution to a system of equations?

Back

The point where the graphs of the equations intersect, representing the values of x and y that satisfy both equations.

Front

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

Back

The (x,y) coordinates satisfy both equations.

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Front

Solve the system of equations by graphing: y = 2x + 1 and y = -x + 3.

Back

(1, 3)

Front

What is the slope-intercept form of the equation -8x + 2y = 4?

Back

y = 4x + 2.

Front

What does the slope represent in a linear equation?

Back

The rate of change of y with respect to x.

Front

What is the y-intercept in a linear equation?

Back

The value of y when x = 0.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.

Front

What does it mean for two lines to be perpendicular?

Back

Their slopes are negative reciprocals of each other.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The same line graphed multiple times.