Slope and Graphing Review

Front

What is the definition of slope?

Back

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

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 is the slope of a line that rises to the right?

Back

A line that rises to the right has a positive slope.

Front

What is the slope of a line that falls to the right?

Back

A line that falls to the right has a negative slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

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

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

Find the slope of the line through the points (2, 3) and (5, 11).

Back

The slope is (11 - 3) / (5 - 2) = 8 / 3.

Front

Find the slope of the line through the points (7, -8) and (6, 3).

Back

The slope is (3 - (-8)) / (6 - 7) = 11 / -1 = -11.