Solving System of Equations 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 for two lines to intersect on a graph?

Back

It means that the two equations have a common solution, represented by the point of intersection.

Front

What is the solution to a system of equations?

Back

The point where the graphs of the equations intersect.

Front

What does it indicate if two lines are parallel on a graph?

Back

It indicates that the system of equations has no solution.

Front

How can you determine the solution of a system of equations by graphing?

Back

By plotting the lines of the equations on a graph and identifying their intersection point.

Front

What is the graphical representation of the equation y = 2x + 1?

Back

A straight line with a slope of 2 and a y-intercept of 1.

Front

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

Back

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

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of the line, calculated as the rise over run.

Front

What is the y-intercept of a line?

Back

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

Front

How do you find the x-intercept of a line?

Back

Set y to 0 in the equation and solve for x.