Slope Formula

Front

What is the slope formula?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Calculate the slope between the points (3, 18) and (0, 18).

Back

The slope is 0.

Front

Calculate the slope between the points (1, 4) and (5, 9).

Back

The slope is \( \frac{5}{4} \).

Front

What is the slope of a line that goes through the points (−11,−5) and (1,−12)?

Back

The slope is \( -\frac{7}{12} \).

Front

Calculate the slope between the points (-5, -3) and (2, 4).

Back

The slope is 1.

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

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

Back

For every 1 unit increase in x, the y value increases by 2 units.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.