Finding Slope from table or points

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

If the points are (2, 3) and (4, 7), what is the slope?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If the slope of a line is 3, what does this mean in terms of rise over run?

Back

For every 3 units the line rises, it runs 1 unit to the right.

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

Front

If the slope of a line is -1/5, what does this indicate about the line's direction?

Back

The line falls gently as it moves from left to right.

Front

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

Back

The slope is undefined because the x-coordinates are the same.