Slope from Tables

Front

What is the rate of change in a linear relationship?

Back

The rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates, often referred to as 'rise over run.'

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-coordinates are the same.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where the y-coordinates are the same.

Front

If the slope of a line is -3/2, what does this mean?

Back

This means for every 2 units you move to the right (increase in x), the line moves down 3 units (decrease in y).

Front

What is the slope of a line that rises 4 units for every 2 units it runs?

Back

The slope is 4/2 = 2.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the slope of a line that falls 5 units for every 1 unit it runs?

Back

The slope is -5/1 = -5.