Linear Relationships

Front

What is the origin on a graph?

Back

The origin is the point (0,0) where the x-axis and y-axis intersect.

Front

What are the ways to represent linear relationships?

Back

Linear relationships can be represented using verbal descriptions, equations, graphs, and tables.

Front

What does a rate of 2 cm per hour indicate?

Back

It indicates that for every hour, the amount increases by 2 cm.

Front

If John pays $25 an hour for labor and $485 for materials, how can we express the total cost?

Back

The total cost c can be expressed as c = 485 + 25h, where h is the number of hours worked.

Front

What equation represents Sally's earnings for babysitting?

Back

The equation is y = 6x, where y is the total earnings and x is the number of hours babysat.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio.

Front

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

Back

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

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0, represented as b in the equation y = mx + b.