Slope & 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 rise over run (change in y over change in x).

Front

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

Back

A slope is positive if the line rises from left to right and negative if it falls from left to right.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is (y2 - y1) / (x2 - x1).

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, y).

Front

How can you find the y-intercept from the slope-intercept form of a line?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept.

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

If a line has a slope of 4/5, what does this tell you about its steepness?

Back

A slope of 4/5 indicates that for every 5 units moved horizontally, the line rises 4 units vertically.

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.