Comparing Linear Relationships

Front

What is a linear relationship?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

Front

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

Back

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

Back

The slope is 3.

Front

Back

The y-intercept is 2.

Front

If Uber charges $2 for a pickup and $3 per mile, what is the cost equation?

Back

Front

If Lyft charges $4 for a pickup and $2 per mile, what is the cost equation?

Back

Front

How do you determine which company charges more per mile?

Back

To determine which company charges more per mile, compare the coefficients of x in their cost equations. The company with the higher coefficient charges more per mile.

Front

What is an ordered pair in the context of earnings and hours worked?

Back

An ordered pair (x, y) represents the number of hours worked (x) and the total earnings (y) associated with those hours.