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 determine if an equation is proportional?

Back

An equation is proportional if it can be expressed in the form y = kx, where k is a constant. If there is an additional constant added or subtracted (like y = kx + b where b ≠ 0), it is not proportional.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the formula for finding 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 is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio. For example, if y is directly proportional to x, then y/x = k, where k is a constant.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships pass through the origin (0,0) and have a constant ratio, while non-proportional relationships do not pass through the origin and may have a constant term added or subtracted.

Front

How can you identify a proportional table?

Back

A table is proportional if the ratios of corresponding values in the table are constant. For example, if for every increase in x, y increases by a consistent factor.

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. It represents the value of y when x = 0.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

How do you find a missing side in similar figures?

Back

To find a missing side in similar figures, set up a proportion using the corresponding sides of the figures and solve for the unknown.