6.8 Slope using multiple representations

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 equation y = mx + b. It is calculated as the change in y divided by the change in x (rise/run).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. In the equation y = mx + b, 'b' represents the y-intercept.

Front

How do you write the slope-intercept form of a linear equation?

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 7?

Back

The slope of the line is 2.

Front

What is the y-intercept of the line represented by the equation y = -3x + 3?

Back

The y-intercept of the line is 3.

Front

If a line has a slope of -1/3, what does this indicate about its direction?

Back

A slope of -1/3 indicates that the line descends from left to right.

Front

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

Back

To determine the slope from a table, calculate the change in y divided by the change in x between two points.

Front

What is the slope of the line represented by the equation y = 1/3x - 2?

Back

The slope of the line is 1/3.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope of the line is -4.