Slope and Rate of Change Practice

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

Slope (m) = (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 and there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is constant and is represented by the slope of the line.

Front

If a line has a slope of 2, what does this mean in terms of rise over run?

Back

A slope of 2 means that for every 1 unit you move horizontally (run), the line rises 2 units vertically (rise).

Front

What is the slope of a line that falls from left to right?

Back

The slope of a line that falls from left to right is negative.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.

Front

What is the formula for 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

What does a positive slope indicate about the relationship between two variables?

Back

A positive slope indicates a direct relationship, meaning as one variable increases, the other variable also increases.