Slope of a Line & Slope Formula WS

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.

Front

How do you calculate the slope using two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of a line that passes through the points (2, -15) and (-3, 15)?

Back

The slope is -6.

Front

What is the slope of a line that passes through the points (13, -6) and (9, -9)?

Back

The slope is 3/4.

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the vertical change (rise) and the horizontal change (run), and then use the formula: slope = rise/run.

Front

What is the slope of a line that passes through the points (-2, 0) and (6, 12)?

Back

The slope is 3/2.

Front

What is the slope of a line that has a rise of -1 and a run of 1?

Back

The slope is -1.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of a line that passes through the points (1, 2) and (1, 5)?

Back

The slope is undefined.