Slope from two points

Front

What is the formula to calculate the slope between two points?

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning it does not rise or fall.

Front

Calculate the slope between the points (5, -2) and (5, -7).

Back

The slope is undefined because the x-coordinates are the same.

Front

Calculate the slope between the points (4, -3) and (7, -3).

Back

The slope is 0 because the y-coordinates are the same.

Front

Find the slope of the line that passes through (-12, -5) and (0, -8).

Back

The slope is -\frac{3}{12} or -\frac{1}{4}.

Front

Calculate the slope between the points (-1, -2) and (8, -3).

Back

The slope is -\frac{1}{9}.

Front

Find the slope of the line that passes through (-6, -8) and (-7, 0).

Back

The slope is -8.

Front

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

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

How do you interpret a slope of 1?

Back

A slope of 1 means that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle line.