Linear Relationships Review

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 expressed in the form of an equation, typically y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a linear equation?

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

What is the y-intercept in 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

How do you write an equation for a linear relationship?

Back

An equation for a linear relationship can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

If Clare charges $20 to come to your home plus $30 per hour, what is the equation that models her charges?

Back

Front

What is the equation for Stella's internet plan that charges $0.15 per minute plus a $40 monthly fee?

Back

Front

If Sally earns $30 for every 5 hours she babysits, what is the equation that represents her earnings?

Back

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio. In a graph, this relationship is represented by a straight line that passes through the origin.

Front

How can you represent a linear relationship graphically?

Back

A linear relationship can be represented graphically by plotting points on a coordinate plane and drawing a straight line through them.

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back