3.5.1 8th Unit 3 Test Review: Linear Relationships

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 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

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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 the value of y when x = 0.

Front

How can you determine if an ordered pair (x,y) is a solution to a linear equation?

Back

You can determine if (x,y) is a solution by plugging the values into the equation and checking if the equation holds true.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation of the line is y = 2x + 3.

Front

If a streaming service costs $20 to sign up and $5 per month, what is the total cost after x months?

Back

The total cost can be represented by the equation y = 5x + 20, where y is the total cost and x is the number of months.

Front

What is the cost for 12 months of a streaming service that charges $5 per month after a $20 sign-up fee?

Back

The total cost for 12 months is $80, calculated as y = 5(12) + 20.

Front

What does it mean for a line to have a higher y-intercept?

Back

A line with a higher y-intercept starts higher on the y-axis, indicating a greater initial value of the dependent variable when the independent variable is zero.

Front

What is the significance of the x-intercept in a linear equation?

Back

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