U5 L1 Graphing

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean to graph a linear equation?

Back

To draw a line that represents all the solutions of the equation on a coordinate plane.

Front

What is the solution to a system of linear equations?

Back

The point(s) where the graphs of the equations intersect, representing the values of the variables that satisfy all equations.

Front

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

Back

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

Front

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

Back

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

Front

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

Back

If the lines are parallel and never intersect, the system has no solution.

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

Back

A line with a slope of -1/4 and a y-intercept at (0, 4).