8th Chapter 2 - Graphs and Functions

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 does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a function to be linear?

Back

A linear function is one that graphs to a straight line, which can be expressed in the form y = mx + b.

Front

What is the definition of a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

Front

Where is the point (0, 0) located on the coordinate plane?

Back

The point (0, 0) is located at the origin, where the x-axis and y-axis intersect.

Front

What is the significance of the ordered pair (x, y)?

Back

An ordered pair (x, y) represents a specific point on the coordinate plane, where x is the horizontal position and y is the vertical position.

Front

How do you determine if a point is a solution to an equation?

Back

To determine if a point (x, y) is a solution, substitute x into the equation and check if the resulting y equals the given y.