Finding Slope from graphs, tables and two given coordinates

Front

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

Back

m = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the slope of a line is 1, what does this mean about the change in y compared to the change in x?

Back

For every 1 unit increase in x, y increases by 1 unit.

Front

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

Back

Choose two points from the table, (x1, y1) and (x2, y2), 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 is 3.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What does it mean if the slope of a line is zero?

Back

It means the line is horizontal and does not rise or fall.