Unit Test: Systems of Linear Equations & Linear Transformations

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

By graphing each equation on the same coordinate plane and identifying the point(s) where they intersect.

It means the lines representing the equations are parallel and never intersect.

It means the equations represent the same line, so every point on the line is a solution.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

A positive slope means the line rises from left to right.

A negative slope means the line falls from left to right.

A vertical stretch occurs when the slope of the line is multiplied by a factor greater than 1, making the line steeper.

A vertical compression occurs when the slope of the line is multiplied by a factor between 0 and 1, making the line less steep.

Reflection across the x-axis means that the y-values of the function are multiplied by -1, resulting in an inverted graph.