Favela's Slope from table

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

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

Back

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

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 descends from left to right.

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 ascends from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in y regardless of the change in x.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0, leading to division by zero.

Front

Given the points (2, 3) and (4, 7), what is the slope?

Back

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

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

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

Front

If the slope of a line is -5, what does this tell you about the line?

Back

The line descends steeply from left to right, indicating a strong negative relationship between x and y.

Front

What is the slope of the line that passes through the points (0, 0) and (5, 5)?

Back

m = (5 - 0) / (5 - 0) = 5 / 5 = 1.