Slope from Graphs M7

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope using a graph?

Back

Slope is calculated using the formula: slope = rise/run.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the slope of the line that rises 3 units for every 4 units it runs?

Back

The slope is 3/4.

Front

What is the slope of the line that falls 2 units for every 1 unit it runs?

Back

The slope is -2.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, and it does not have a defined rise or run.

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

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

Front

What is the slope of a line that runs 5 units to the right and rises 4 units?

Back

The slope is 4/5.