Finding Slope from a Table, Graph, and Points

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 two points (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 does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line where y remains constant regardless of x.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line where x remains constant regardless of y.

Front

Find the slope of the line that passes through (3, 4) and (7, 8).

Back

The slope is 1, calculated as (8 - 4) / (7 - 3).

Front

Find the slope of the line that passes through (1, 2) and (1, 5).

Back

The slope is undefined, as the x-coordinates are the same.

Front

Find the slope of the line that passes through (2, 3) and (4, 7).

Back

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

Front

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

Back

The slope is -3, which is the coefficient of x.