Finding Slope from a Table, Graph, and Points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

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 it mean if a line has no slope?

Back

A line with no slope is vertical, meaning it goes straight up and down.

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), and use the formula m = rise/run.

Front

What is the slope of a line that rises 3 units for every 2 units it runs to the right?

Back

The slope is 3/2.

Front

If a line passes through the points (2, 3) and (5, 7), what is the slope?

Back

The slope is (7 - 3) / (5 - 2) = 4/3.

Front

What is the slope of a line that falls as it moves from left to right?

Back

The slope is negative.

Front

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

Back

To determine the slope from a table, calculate the change in y divided by the change in x between two points.

Front

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

Back

The slope is 2.

Front

What does a slope of 1/4 indicate about the steepness of a line?

Back

A slope of 1/4 indicates a gentle incline; for every 4 units run, the line rises 1 unit.