Solving System of Equations-Graphing

Front

What is the solution to a system of linear equations when graphed?

Back

The solution is the point of intersection of the two lines.

Front

What does the ordered pair (x, y) represent in a graph?

Back

It represents a point on the Cartesian plane where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.

Front

How do you determine the solution of a system of equations graphically?

Back

By finding the point where the two lines intersect on the graph.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written as (x, y).

Front

What does it mean if two lines are parallel in a system of equations?

Back

If two lines are parallel, they have no points of intersection, meaning there is no solution to the system.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

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 (change in y over change in x).

Front

How can you check if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into both equations; if both equations are true, the point is a solution.

Front

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

Back

It means the two lines are the same line, overlapping completely.

Front

What is the first step in graphing a linear equation?

Back

Identify the y-intercept and plot it on the graph.