Slope from ordered pairs and tables

Front

What is the slope (m) of a line?

Back

The slope (m) of a line is a measure of its steepness, calculated as the change in y (rise) divided by the change in x (run).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in y regardless of the change in x.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0, leading to division by zero.

Front

Given the points (4, 9) and (1, 11), what is the slope?

Back

The slope is -2/3.

Front

Given the points (8, 9) and (2, 4), what is the slope?

Back

The slope is 5/6.

Front

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

Back

Calculate the change in y and the change in x between two points from the table, then use the slope formula.

Front

What is the slope of a line that passes through the points (2, 3) and (5, 7)?

Back

The slope is 4/3.