Linear Relationships

Front

What is the definition of slope in a linear relationship?

Back

Slope is the measure of the steepness of a line, calculated as the ratio of the rise (change in y) to the run (change in x).

Front

In the equation y=mx+b, what does 'm' represent?

Back

In the equation y=mx+b, 'm' represents the slope of the line.

Front

What does 'b' represent in the equation y=mx+b?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

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

Back

The slope of the line is 2.

Front

What is the slope of the line represented by the equation y=-5/3x + 1?

Back

The slope of the line is -5/3.

Front

How do you interpret a positive slope?

Back

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

Front

How do you interpret a negative slope?

Back

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

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal and does not rise or fall.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.