Slope Flashcard

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the slope-intercept form of a linear equation.

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 is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form y = mx + b.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall as it moves along the x-axis.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, and it does not have a defined rise over run.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What is the slope of the line that passes through the points (-1, -1) and (1, 1)?

Back

The slope is 1, calculated as (1 - (-1)) / (1 - (-1)).