Unit 5 Review - Slope and Slope Int

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

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 zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no vertical change as the x-value changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as the x-value remains constant.

Front

How is slope calculated using two points (x1, y1) and (x2, y2)?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

If a line has a slope of 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 that passes through the points (2, 3) and (4, 7)?

Back

The slope is calculated as m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope of the line is -2.