Find the Slope from Graphs, Tables and Equations

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) divided by 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 (change in y) and run (change in x) between these points, and then divide rise by run.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

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

Back

If a line rises from left to right, its slope is positive.

Front

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

Back

If a line falls from left to right, its slope is negative.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

How can you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) from the table, and use the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line represented by the equation y = 3x + 2 is 3.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope of the line represented by the equation y = -1/2x + 4 is -1/2.