November 29th Flashcardziz: Recognizing Slope on Graphs

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated 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 positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no change in y-values as x-values change.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line where the x-values are constant, indicating that there is no change in x-values as y-values change.

Front

If a line has a slope of 5/3, what does this tell you about the rise and run?

Back

For every 3 units of horizontal change (run), the line rises 5 units (rise).

Front

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

Back

The slope of a line that goes down 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, find the rise and run between them, and calculate the slope using the formula m = rise/run.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.