Tuesday Nov 19 Flashcardziz on Slope

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

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

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

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

Front

How do you determine the slope from a graph of a line?

Back

To determine the slope from a graph, select two points on the line, find the rise (change in y) and run (change in x), and use the formula m = rise/run.

Front

What is the slope of the line through the points (2, 3) and (-3, -5)?

Back

The slope is 8/5.

Front

What is the slope of the line through the points (-1, -9) and (5, -6)?

Back

The slope is 1/2.

Front

What does it mean if a line has a slope of 0?

Back

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

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change between two variables, which can be used in various contexts such as speed, cost, and growth.