8.4C 8.5I Check for Understanding

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 divided by the change in x (rise over run).

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing a downward trend.

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, y).

Front

How do you find the y-intercept from a graph?

Back

To find the y-intercept from a graph, look for the point where the line crosses the y-axis.

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

How do you find the slope from an equation?

Back

To find the slope from an equation in slope-intercept form, look at the coefficient of x.

Front

What does a slope of 0 mean?

Back

A slope of 0 means the line is horizontal, indicating no change in y as x changes.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates.

Front

How do you determine if a slope is positive or negative from a graph?

Back

If the line rises from left to right, the slope is positive; if it falls, the slope is negative.