Calculate Slope

Front

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

Back

The slope (m) is calculated using the formula: m = \frac{y_2 - y_1}{x_2 - x_1}.

Front

How do you interpret a positive slope?

Back

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

Front

What does a negative slope represent?

Back

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

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

Calculate the slope of the line passing through the points (2, 3) and (5, 11).

Back

The slope is \frac{11 - 3}{5 - 2} = \frac{8}{3}.

Front

If the slope of a line is 2, what does this mean in terms of rise over run?

Back

It means for every 2 units the line rises, it runs 1 unit horizontally.

Front

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

Back

The slope is 3.

Front

How do you find the slope from a linear equation in the form y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

Calculate the slope of the line through the points (1, 2) and (3, 4).

Back

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