Finding Slope from a Table

Front

What is the 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.

Front

What is the slope formula?

Back

The slope formula is given by: \( m = \frac{y_2 - y_1}{x_2 - x_1} \) where (x1, y1) and (x2, y2) are two points on the line.

Front

Find the slope between the points (1, 2) and (3, 4).

Back

The slope is \( m = \frac{4 - 2}{3 - 1} = \frac{2}{2} = 1 \).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0, leading to division by zero.

Front

If the slope is \( \frac{1}{2} \), what does this mean?

Back

This means that for every 2 units you move horizontally to the right, you move 1 unit up.

Front

Calculate the slope from the table: (1, 3), (2, 5).

Back

The slope is \( m = \frac{5 - 3}{2 - 1} = \frac{2}{1} = 2 \).

Front

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

Back

The slope is 3, which indicates a steep upward trend.