Slope Review

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). It is often represented as 'm' in the slope-intercept form of a line.

Front

How do you find 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-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the 'b' represent in the equation y = mx + b?

Back

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

Front

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

Back

A slope of -1 indicates that the line descends from left to right, meaning for every unit increase in x, y decreases by 1 unit.

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2, calculated as (12 - 4) / (6 - 2).

Front

How do you graph a line given its equation in slope-intercept form?

Back

To graph a line in the form y = mx + b, start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right, meaning as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right, meaning as x increases, y decreases.