12/13 Slope and Graphing Lines Practice

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the rise (vertical change) to the run (horizontal change).

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Back

The slope is 3.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

Find the y-intercept of the equation y = -2x + 4.

Back

The y-intercept is (0, 4).

Front

What is the slope of the line represented by the equation y = -5x + 1?

Back

The slope is -5.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, 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 a vertical line, meaning the x-value does not change as the y-value changes.