Slope (from a graph and two points)-LAB

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented 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 from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is 3/4.

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -4/3, what type of slope is it?

Back

It is a negative slope.

Front

Find the slope of the line passing through the points (2, 3) and (6, 7).

Back

The slope is 1.

Front

If the slope of a line is 1/2, what does this mean in terms of rise and run?

Back

For every 1 unit the line rises, it runs 2 units horizontally.