Chapter 3 Final Review

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation 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, indicating how steep the line is.

Front

What is the y-intercept of a line?

Back

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

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

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 find 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

What is the absolute value function?

Back

The absolute value function, denoted as |x|, returns the non-negative value of x, meaning it outputs the distance of x from 0.

Front

How do you write an equation in standard form?

Back

To write an equation in standard form, rearrange the equation to the form Ax + By = C, ensuring A, B, and C are integers.

Front

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

Back

The slope indicates the direction of the line: a positive slope means the line rises, while a negative slope means it falls.

Front

How do you determine if a point lies on a line?

Back

To determine if a point (x, y) lies on a line, substitute x into the line's equation and check if the resulting y equals the y-coordinate of the point.