algebra1 EOC#3

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It can be found by setting x = 0 in the equation of the line.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What does the inequality y < mx + b represent?

Back

The inequality y < mx + b represents the region below the line y = mx + b on a graph.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function f(x) at a specific value a, substitute a for x in the function's equation.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y. A positive slope means y increases as x increases, while a negative slope means y decreases as x increases.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions are the points where the equations intersect.