finding slope from a graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (vertical change) and run (horizontal change) between them, and then divide the rise by the run.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the run is 0, leading to division by zero.

Front

If a line goes down from left to right, what is the sign of its slope?

Back

The slope is negative.

Front

If a line goes up from left to right, what is the sign of its slope?

Back

The slope is positive.

Front

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

Back

The slope is undefined.

Front

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

Back

The slope is 0.

Front

Calculate the slope between the points (2, 3) and (4, 7).

Back

The slope is 2, calculated as (7-3)/(4-2) = 4/2 = 2.

Front

Calculate the slope between the points (1, 2) and (1, 5).

Back

The slope is undefined, as the x-coordinates are the same, leading to division by zero.