8th Unit 3 Chapter Test Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the change in y divided by the change in x (rise over run).

Front

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

Back

The slope (m) can be found using the formula: m = (y2 - y1) / (x2 - x1).

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

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

If the slope of a line is -2, what does this indicate about the line?

Back

A slope of -2 indicates that the line is decreasing; for every 2 units you move down, you move 1 unit to the right.

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope; it represents how much y changes for a unit change in x.

Front

How do you determine if a line is vertical or horizontal?

Back

A vertical line has an undefined slope and is represented by an equation of the form x = a. A horizontal line has a slope of 0 and is represented by y = b.

Front

What is the significance of the slope in real-world contexts?

Back

The slope can represent rates such as speed, cost per item, or any other ratio of change between two quantities.

Front

How do you write the equation of a vertical line?

Back

The equation of a vertical line is written as x = a, where 'a' is the x-coordinate of any point on the line.

Front

How do you write the equation of a horizontal line?

Back

The equation of a horizontal line is written as y = b, where 'b' is the y-coordinate of any point on the line.