3-19 Graphing Slope-Intercept Form

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 (y = mx + b). It is calculated as the change in y divided by the change in x (rise/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 is the slope of the line that passes through the points (6,7) and (4,2)?

Back

5/2

Front

What is the slope of the line that passes through the points (3, -20) and (5, 8)?

Back

14

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of the line that passes through the points (2, 3) and (2, 5)?

Back

Undefined (vertical line).

Front

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

Back

0 (horizontal line).

Front

In the slope-intercept form of a linear equation, what does 'b' represent?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

Where can you find the slope in a graphing calculator?

Back

You can find the slope by entering data into the 'Stat, Edit' section.