Linear Function Graphs Check

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

The slope of a line represents the rate of change of y with respect to x. A positive slope indicates that as x increases, y increases, while a negative slope indicates that as x increases, y decreases.

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

A slope is positive if the line rises from left to right and negative if it falls from left to right.

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

The range of a function is the set of all possible output values (y-values) that the function can produce.

A linear function will have a constant rate of change between the x-values and y-values in the table.

The equation is y = 2x - 3.

A graph represents a function if each input (x-value) corresponds to exactly one output (y-value).

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