Identifying Slope of a line

Front

What is the formula to calculate the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

How do you interpret the slope in a real-world context?

Back

The slope represents the rate of change between two variables. For example, in a typing speed scenario, it indicates how many words are typed per minute.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio. This means that as one quantity changes, the other changes at a consistent rate.

Front

How do you find the constant of proportionality in a table of values?

Back

To find the constant of proportionality, divide one quantity by the corresponding quantity in the other column. It should yield the same result for all pairs.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

How can you determine which option is a better deal when comparing prices?

Back

To determine the better deal, calculate the unit price for each option and compare them. The option with the lower unit price is the better deal.

Front

What is the unit price and how is it calculated?

Back

The unit price is the cost per single unit of a product. It is calculated by dividing the total price by the number of units.

Front

In the context of a candy store, how would you calculate the cost of a different number of lollipops?

Back

To calculate the cost of a different number of lollipops, find the unit price by dividing the total cost by the number of lollipops, then multiply the unit price by the desired quantity.

Front

What does a percentage represent in a real-world scenario?

Back

A percentage represents a part of a whole expressed as a fraction of 100. It is often used to compare quantities or to express proportions.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 12% becomes 0.12.