Slope and Christmas

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

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

Back

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

Front

What does 'm' represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of the line that passes through the points (2, 4) and (6, 8)?

Back

Slope = (8 - 4) / (6 - 2) = 1.

Front

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

Back

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

Front

In the equation y = -2x + 5, what is the slope?

Back

The slope is -2.

Front

What is the slope of the line represented by the equation y = 1/4x - 3?

Back

The slope is 1/4.