U7D7 Fall Interim Review 2: Slope & Rate of Change

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

What does a zero slope indicate about a line?

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along 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 is the slope of a line that descends from left to right?

Back

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

Front

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

Back

The slope of a line that ascends from left to right is positive.

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 -3, what does this indicate about the relationship between the variables?

Back

A slope of -3 indicates that for every 1 unit increase in the x-direction, the y-value decreases by 3 units.

Front

What is the formula for calculating the rate of change?

Back

Rate of Change = (Change in y) / (Change in x).

Front

If a graph shows a rate of change of 40, what does this mean?

Back

This means that for every unit increase in the x-value, the y-value increases by 40 units.