Slope and Attributes Review

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

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 positive slope indicate about a line?

Back

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

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating no change in the y-value as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where the x-value does not change, leading to division by zero in the slope formula.

Front

If the slope of a line is 4, what does this mean in terms of rise over run?

Back

A slope of 4 means that for every 1 unit you move horizontally (run), the line rises 4 units (rise).

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2, which indicates that for every 1 unit increase in x, y increases by 2 units.

Front

Given the points (1, 2) and (3, 6), what is the slope?

Back

Using the formula, the slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is 0.