8th Unit 3 Test Review: Linear Relationships

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a slope of 2 indicate about a line?

Back

A slope of 2 indicates that for every 1 unit increase in x, the y value increases by 2 units.

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.

Front

What is 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

Write the equation of a line with a slope of 3 and a y-intercept of 4.

Back

y = 3x + 4.

Front

What does the term 'rate of change' refer to in linear relationships?

Back

Rate of change refers to how much one quantity changes in relation to another quantity, often represented by the slope.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating no change in y as x changes.

Front

What is the formula for the equation of a line in slope-intercept form?

Back

The formula is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine the number of purchases you can make with a gift card?

Back

Divide the total amount on the gift card by the cost of each purchase.