4.6-4.10 Review Flashcardizz

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of a line represented by the equation y = mx + b?

Back

The slope (m) represents the steepness of the line, indicating how much y changes for a change in x.

Front

What is a reflection in the context of functions?

Back

A reflection occurs when a function is flipped over a specific axis, such as the x-axis or y-axis.

Front

What is a vertical shift in a function?

Back

A vertical shift moves the graph of a function up or down without changing its shape.

Front

What is the parent function of a linear equation?

Back

The parent function of a linear equation is f(x) = x, which represents a straight line through the origin.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that is parallel to a line with slope m = 5?

Back

The slope of a line parallel to m = 5 is also 5.

Front

What is the slope of a line that is perpendicular to a line with slope m = 2?

Back

The slope of a line perpendicular to m = 2 is -1/2.

Front

What transformation is represented by the equation f(x) = -x + 3?

Back

This equation represents a reflection over the x-axis and a vertical shift up 3.