Linear Relationships 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 (rise) divided by the change in x (run).

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 does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Front

If a line has a slope of 2, what does this mean in terms of rise and run?

Back

A slope of 2 means that for every 1 unit you move to the right (run), the line rises 2 units (rise).

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form of a line: y = mx + b.

Front

How can you determine the equation of a line from a table of values?

Back

You can determine the equation by identifying the slope and y-intercept from the table values, then using the slope-intercept form y = mx + b.

Front

What is the slope of the line that passes through the points (4, 12) and (5, 16)?

Back

The slope is 4, calculated as (16 - 12) / (5 - 4).

Front

What is the equation that models Clare's pet grooming charges?

Back

Front

What does the slope represent in a real-world context, such as distance vs. gasoline used?

Back

In this context, the slope represents the rate of gasoline consumption per distance traveled.