SLOPE REVIEW

Front

What is the slope in the equation y=mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

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 y-intercept in the equation y=mx + b?

Back

The y-intercept (b) is the value of y when x=0.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

If a line is vertical, what can be said about its slope?

Back

The slope of a vertical line is undefined.

Front

Given the points (1, 2) and (3, 6), what is the slope?

Back

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

Front

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

Back

The slope is -3.

Front

Find the slope between the points (2, 3) and (5, 11).

Back

Slope = (11 - 3) / (5 - 2) = 8 / 3.