Unit 3 Linear Functions Test Review

Front

What is a linear function?

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

What does the x-intercept of a graph represent?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the value of y is zero at that point.

Front

What does the y-intercept of a graph represent?

Back

The y-intercept is the point where the graph crosses the y-axis, meaning the value of x is zero at that point.

Front

How do you find the slope of a line given 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 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

What does the inequality y < mx + b represent graphically?

Back

It represents the region below the line y = mx + b, where the line itself is not included in the solution set.

Front

How can you determine if a point (x, y) is a solution to a linear equation?

Back

Substitute the x and y values into the equation. If the equation holds true, then the point is a solution.

Front

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

Back

The slope indicates the steepness of the line and the direction it moves. A positive slope means the line rises, while a negative slope means it falls.

Front

What is the zero of a function?

Back

The zero of a function is the value of x that makes the function equal to zero (f(x) = 0). It is also known as the x-intercept.

Front

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

Back

To convert Ax + By = C to slope-intercept form (y = mx + b), solve for y in terms of x.