Slope - Multiple Representations

Front

What is slope?

Back

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

Front

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

Back

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

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x as y changes.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

In the context of a table, what does the slope represent?

Back

In a table, the slope represents the rate of change between the two variables being compared.

Front

If a table shows that for every 2 cakes made, 5 eggs are used, what is the slope?

Back

The slope is 5/2, indicating the number of eggs used per cake.

Front

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

Back

The slope is 3, indicating that for every 1 unit increase in x, y increases by 3 units.