Finding 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 = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope occurs when the line is vertical, meaning the x-coordinates of the two points are the same.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs to the right?

Back

The slope is 3, which can be expressed as 3/1.

Front

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

If a line passes through the points (-1, -9) and (5, -6), what is the slope?

Back

The slope is 1/2.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What does a positive slope indicate about the relationship between two variables?

Back

A positive slope indicates a direct relationship, meaning as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates an inverse relationship, meaning as one variable increases, the other variable decreases.