SOLVING SYSTEMS OF EQUATIONS-GRAPHS

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 of equations graphically?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Front

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

Back

The form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does 'm' represent in the equation y = mx + b?

Back

The slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

The y-intercept, where the line crosses the y-axis.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line, so every point on the line is a solution.

Front

What is the graphical representation of the solution (1, 3)?

Back

It is the point where x=1 and y=3 on the graph.