Finding Slope from a Table, Graph, and 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

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

If the slope of a line is positive, what does that tell you about the direction of the line?

Back

The line rises from left to right.

Front

If the slope of a line is negative, what does that tell you about the direction of the line?

Back

The line falls from left to right.

Front

What is the slope of a line that goes through the points (2, 3) and (4, 7)?

Back

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

Front

How do you find the slope from a graph?

Back

Identify two points on the line, then use the slope formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that is perfectly vertical?

Back

The slope is undefined.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope is 0.

Front

If a line has a slope of 1/2, what does this mean in terms of rise over run?

Back

For every 2 units you move to the right (run), the line rises 1 unit (rise).