PRACTICE II (Slopes,Review Rates/Proportions)

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as a fraction (rise/run). A positive slope indicates the line rises from left to right, while a negative slope indicates it falls.

Front

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

Back

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

Front

What does a slope of 4/5 indicate?

Back

A slope of 4/5 means that for every 5 units you move horizontally to the right, the line rises 4 units.

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

How do you set up a proportion?

Back

A proportion is set up by comparing two ratios, such as a/b = c/d, where a and b are one pair of quantities and c and d are another.

Front

If a painting's width is enlarged from 3 in. to 15 in., how do you find the new height?

Back

Set up the proportion 3/4 = 15/H, where H is the new height.

Front

What is the exchange rate?

Back

The exchange rate is the value of one currency in relation to another, indicating how much of one currency you can get for a unit of another.

Front

If $1 equals 6 Pounds, how many dollars do you get for 12 Pounds?

Back

To find the dollars, use the proportion: 1/6 = x/12. Solving gives x = $2.

Front

How do you find the price per item?

Back

To find the price per item, divide the total cost by the number of items. For example, $36 for 4 basketballs means $36/4 = $9 per basketball.