Solve Systems by Graphing

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 by graphing?

Back

Finding 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 does it mean if two lines intersect at one point?

Back

The system has a unique solution.

Front

What does it mean if two lines are parallel?

Back

The system has no solution because the lines never intersect.

Front

What does it mean if two lines are the same line?

Back

The system has infinitely many solutions.

Front

How do you graph the equation y = mx + b?

Back

Plot the y-intercept (b) and use the slope (m) to find another point.

Front

What is the slope of the line y = 2/3x - 2?

Back

The slope is 2/3.

Front

What is the y-intercept of the line y = -x + 3?

Back

The y-intercept is 3.

Front

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

Back

Substitute the point into both equations; if it satisfies both, it is a solution.