PSL March 26 , 2025

Front

What is the slope of a line in a graph?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. It is calculated as the rise over run.

Front

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

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

If a line has a slope of 4.5, what does this mean in terms of rise and run?

Back

For every 4.5 units the line rises, it runs 1 unit horizontally.

Front

What is the formula for the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

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 can you determine the slope from a graph visually?

Back

You can determine the slope by selecting two points on the line, measuring the vertical change (rise) and the horizontal change (run), and calculating rise/run.