Finding Slope 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 is slope calculated between two points (x1, y1) and (x2, y2)?

Back

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 0 mean?

Back

A slope of 0 means the line is horizontal, indicating that there is no vertical change as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change (x2 - x1 = 0), leading to division by zero.

Front

Find the slope of the line that passes through (3, 4) and (3, 10).

Back

The slope is undefined.

Front

Find the slope of the line that passes through (1, 2) and (4, 5).

Back

Front

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

Back

The slope is 2.

Front

What is the slope of a line represented by the equation y = -rac{1}{2}x + 4?

Back

The slope is -rac{1}{2}.