Slope and Rate of Change

Front

What is the slope formula?

Back

The slope formula is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where \( (x_1, y_1) \) and \( (x_2, y_2) \) are two points on a line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero in the slope formula.

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, where there is no change in y as x changes.

Front

Calculate the slope between the points (1, 2) and (4, 2).

Back

The slope is 0, as there is no change in y.

Front

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

Back

The slope is undefined, as the change in x is 0.

Front

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

Back

The slope is 3, which is the coefficient of x in the equation.

Front

What is the slope of the line represented by the equation \( y = -\frac{1}{2}x + 4 \)?

Back

The slope is -\frac{1}{2}, which is the coefficient of x in the equation.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of a line that goes down from left to right?

Back

The slope is negative.

Front

What is the slope of a line that goes up from left to right?

Back

The slope is positive.