Rate of Change/Slope review

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope, which represents how much the y-value changes for a unit change in the x-value.

Front

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

Back

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

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -1, what does this mean?

Back

It means that for every unit increase in x, y decreases by 1 unit.

Front

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

Back

The slope is 3.

Front

What does it mean if a line is non-linear?

Back

A non-linear line does not have a constant slope; its rate of change varies.