BL 2.1.5 Activity p211

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be described by a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

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 as an ordered pair (0, b), where b is the value of y when x is 0.

Front

How do you find the slope of a linear equation?

Back

The slope (m) of a linear equation is calculated as the change in y divided by the change in x (rise/run) between two points on the line.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes. The equation of such a line can be written as y = b.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning there is no change in x as y changes. The equation of such a line can be written as x = a.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the y-intercept from a linear equation?

Back

To determine the y-intercept from a linear equation in slope-intercept form, identify the value of b in the equation y = mx + b.

Front

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

Back

The slope indicates the rate of change of y with respect to x. A positive slope means y increases as x increases, while a negative slope means y decreases as x increases.

Front

What is the ordered pair for the y-intercept if b = 9?

Back

The ordered pair for the y-intercept is (0, 9).

Front

What is the ordered pair for the y-intercept if b = -45?

Back

The ordered pair for the y-intercept is (0, -45).