Slope & Functions

Front

What is the definition of slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

How do you evaluate a function at a specific point, f(x)?

Back

To evaluate a function at a specific point, substitute the value of x into the function's equation and simplify.

Front

What is the slope of the line that passes through the points (2, -4) and (3, 1)?

Back

The slope is 5.

Front

If f(x) = 3x + 1, what is f(2)?

Back

f(2) = 10.

Front

What is the formula for calculating slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal and there is no change in the y-value as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If f(x) = -2, what is the value of x if f(x) = -2?

Back

x = 8.

Front

What is the significance of a positive slope?

Back

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

Front

What does a negative slope indicate?

Back

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