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 y-intercept represent in a linear equation?

Back

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

Front

How do you find the slope of a line?

Back

The slope (m) of a line is calculated as the rise over run, which is the change in y divided by the change in x between two points on the line.

Front

What is the formula for calculating the total cost in a linear cost model?

Back

Total Cost = Fixed Cost + (Variable Cost per Unit * Number of Units).

Front

If a streaming service costs $20 to sign up and $5 per month, what is the total cost after 3 months?

Back

Total Cost = $20 + ($5 * 3) = $20 + $15 = $35.

Front

What does it mean for a graph to be decreasing?

Back

A decreasing graph slopes downwards from left to right, indicating that as the x-value increases, the y-value decreases.

Front

How can you determine if a point is a solution to a linear equation?

Back

To determine if a point (x, y) is a solution to a linear equation, substitute the x-value into the equation and see if the resulting y-value matches the y-value of the point.

Front

What is the significance of the slope in a linear relationship?

Back

The slope indicates the rate of change between the two variables. A positive slope means that as one variable increases, the other also increases, while a negative slope means that as one variable increases, the other decreases.

Front

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

Back

The equation is y = 2x + 3.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept, plot it on the y-axis, then use the slope to find another point by moving up/down and left/right from the y-intercept.