Solving Linear Systems by Graphing

A linear system is a collection of two or more linear equations involving the same variables.

It means that the lines represented by the equations are parallel and never intersect.

It means that the lines represented by the equations intersect at exactly one point.

It means that the lines represented by the equations coincide, or are the same line.

Substitute the x and y values of the point into each equation. If both equations are satisfied, the point is a solution.

It is a straight line where 'm' is the slope and 'b' is the y-intercept.

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

Graph both equations on the same coordinate plane and identify the point(s) where the lines intersect.

To intersect means that the lines cross at a point, which represents the solution to the system.

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