Finding Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation.

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 an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning it does not rise or fall.

Front

Find the slope of the line that passes through the points (2, 3) and (5, 11).

Back

The slope is (11 - 3) / (5 - 2) = 8 / 3.

Front

Find the slope of the line that passes through the points (1, 2) and (1, 5).

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

Front

What is the slope of a line that rises 4 units for every 2 units it runs?

Back

The slope is 4 / 2 = 2.

Front

If a line has a slope of -3, what does this indicate about its direction?

Back

A slope of -3 indicates that the line falls as it moves from left to right.

Front

Find the slope of the line that passes through the points (3, 4) and (7, 8).

Back

The slope is (8 - 4) / (7 - 3) = 4 / 4 = 1.

Front

What is the slope of a line that falls 5 units for every 10 units it runs?

Back

The slope is -5 / 10 = -1/2.