Linear Equation Test Review

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form 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 of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

How do you find the slope between 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 y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

What is the range of a function?

Back

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

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the lowest and highest y-values that the graph reaches.

Front

What does it mean if a slope is zero?

Back

A slope of zero means that the line is horizontal, indicating that there is no change in y as x changes.

Front

What does it mean if a slope is undefined?

Back

An undefined slope occurs when a line is vertical, meaning that there is no change in x as y changes.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the given input value into the function's equation and simplify to find the output.

Front

What is function composition?

Back

Function composition is the process of applying one function to the result of another function, denoted as (f ∘ g)(x) = f(g(x)).