2.5-2.7 slope review (Savvas)

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, and is calculated as the change in y divided by the change in x (rise over run).

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

Back

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the slope of the line, representing the ratio of y to x.

Front

How do you find the unit rate from a proportional relationship?

Back

The unit rate is found by dividing the total quantity by the number of units, giving the amount per one unit.

Front

What is the unit rate in the relationship of 120 miles in 2 hours?

Back

The unit rate is 60 miles per hour.

Front

Back

The slope of the line is -2.

Front

How can you identify a line with a negative slope from its equation?

Back

A line has a negative slope if the coefficient of x in the equation is negative.