Alg 2 Ch 2 Relations & Functions Rvw 2024

Front

What is the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is given by: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope between two points (x_1, y_1) and (x_2, y_2)?

Back

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is a piecewise function?

Back

A piecewise function is a function defined by multiple sub-functions, each applying to a certain interval of the main function's domain.

Front

How do you convert the equation 2y - x = 4 to slope-intercept form?

Back

To convert to slope-intercept form (y = mx + b), rearrange to get y = (1/2)x + 2.

Front

What is the slope of the line represented by the equation y = 3x - 14?

Back

The slope of the line is 3.

Front

What is the y-intercept of the line given by the equation y = -x + 2?

Back

The y-intercept is 2, which is the value of y when x = 0.

Front

How do you determine if a function is linear?

Back

A function is linear if it can be expressed in the form y = mx + b, where m and b are constants.

Front

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

Back

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