7.7a

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the rise (change in y) over the run (change in x).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, indicating no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it does not have a defined rise over run.

Front

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

Back

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

Front

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

Back

The slope is 3.

Front

What is the relationship between slope and rate of change?

Back

Slope represents the rate of change of y with respect to x in a linear relationship.

Front

What does a slope of 1/3 mean in a graph?

Back

A slope of 1/3 means that for every 3 units you move horizontally to the right, you move 1 unit up.

Front

What is the significance of 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 0.