2.8-2.9 Slope and y-intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y (vertical) divided by the change in x (horizontal).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

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

In the equation y = -5x + 1, what is the slope?

Back

The slope is -5.

Front

In the equation y = 2x + 3, what is the y-intercept?

Back

The y-intercept is 3.

Front

How can you determine the slope from a table of values?

Back

Calculate the change in y divided by the change in x between two points in the table.

Front

Find the slope from the table: (1, 2) and (3, 6).

Back

The slope is 2.