Solving Systems by Graphing

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system of equations by graphing?

Back

Solving a system of equations by graphing involves plotting the equations on a coordinate plane and identifying the point(s) where they intersect.

Front

What is the intersection point of two lines?

Back

The intersection point of two lines is the coordinate point (x, y) that satisfies both equations simultaneously.

Front

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

Back

To find the solution graphically, graph each equation on the same set of axes and look for the point where the lines cross.

Front

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

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a line?

Back

Front

What does it mean if two lines are parallel?

Back

If two lines are parallel, they have the same slope and will never intersect, meaning there is no solution to the system.

Front

What does it mean if two lines are coincident?

Back

If two lines are coincident, they lie on top of each other and have infinitely many solutions, as every point on the line is a solution.

Front

What is a unique solution in a system of equations?

Back

A unique solution occurs when the two lines intersect at exactly one point, providing one set of values for the variables.