find slope from a graph

Front

What is slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in vertical distance (rise) over the change in horizontal distance (run).

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, 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-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs with vertical lines where the change in x is zero, leading to division by zero.

Front

If a line rises 3 units for every 1 unit it runs, what is the slope?

Back

The slope is 3/1 or simply 3.

Front

If a line falls 2 units for every 4 units it runs, what is the slope?

Back

The slope is -2/4, which simplifies to -1/2.

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

Slope = (6 - 2) / (3 - 1) = 4/2 = 2.

Front

How can you identify the slope from a graph visually?

Back

You can identify the slope by selecting two points on the line, measuring the rise and run between them, and calculating rise/run.