Graphing, Lines, and Tables of Values

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a two-dimensional space, written in the form (x, y).

Front

How do you identify the x-coordinate in an ordered pair?

Back

The x-coordinate is the first number in the ordered pair (x, y) and represents the horizontal position on the graph.

Front

How do you identify the y-coordinate in an ordered pair?

Back

The y-coordinate is the second number in the ordered pair (x, y) and represents the vertical position on the graph.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

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

Front

What is a table of values in graphing?

Back

A table of values lists pairs of x and y coordinates that satisfy a given equation, used to plot points on a graph.

Front

How do you determine if a table of values satisfies a linear equation?

Back

Substitute each x value from the table into the equation and check if the corresponding y value matches.

Front

What is the y-intercept of a line?

Back

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

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, indicating they intersect at a right angle.