Slope Slope Intercept Standard Graphs

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

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 x increases, y 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 x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

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

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x as y changes.

Front

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

Back

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

Front

Given the points (-4, -1) and (-2, -5), what is the slope?

Back

The slope is -2, calculated as (-5 - (-1)) / (-2 - (-4)).

Front

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

Back

The slope is 3, which is the coefficient of x in the slope-intercept form (y = mx + b).

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2, which is the coefficient of x in the slope-intercept form.