8th Unit 3 Test Review: Linear Relationships

Front

What is the slope in a linear relationship?

Back

The slope is the rate of change of the line, representing how much the y-value changes for a unit change in the x-value.

Front

How do you identify the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

How do you calculate the total cost from a linear cost function?

Back

Total cost = fixed cost + (variable cost per unit * number of units).

Front

What is a linear relationship?

Back

A linear relationship is a relationship that can be represented by a straight line on a graph, showing a constant rate of change.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept and use the slope to find another point, then draw a line through these points.

Front

What is the meaning of 'rise over run' in slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

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

Back

Substitute the x and y values of the point into the equation. If the equation holds true, the point is a solution.

Front

What is the cost of a service that has a fixed fee and a variable monthly fee?

Back

The total cost is the sum of the fixed fee and the product of the variable fee and the number of months.

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship is one where the ratio between two quantities remains constant.