12/17 Linear Relationships

Front

What is the slope of the line represented by the equation Y = -1/2x - 3?

Back

-1/2

Front

In the equation Y = mx + b, what does Y represent?

Back

Y represents the dependent variable, not the y-intercept.

Front

What is the y-intercept in the equation Y = mx + b?

Back

The y-intercept is the value of Y when X is 0, represented by b.

Front

What does the variable m represent in the equation Y = mx + b?

Back

m represents the slope of the line.

Front

What does the slope of a line indicate?

Back

The slope indicates the rate of change of Y with respect to X.

Front

If a golf club charges a $50 sign-up fee and $20 per game, what is the linear equation representing total cost Y in terms of games played X?

Back

Y = 20X + 50

Front

In the equation Y = mx + b, what does b represent?

Back

b represents the y-intercept of the line.

Front

True or False: In the equation Y = mx + b, m stands for the constant rate of change.

Back

True

Front

What is the formula for a linear relationship?

Back

The formula for a linear relationship is Y = mx + b.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as (y2 - y1) / (x2 - x1).