Slope Formula Flashcard

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 positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where the y-value remains constant as the x-value changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the x-value remains constant, leading to division by zero in the slope formula.

Front

Find the slope of the line that passes through (1, 2) and (3, 6).

Back

The slope is \( m = \frac{6 - 2}{3 - 1} = \frac{4}{2} = 2 \).

Front

Find the slope of the line that passes through (4, 5) and (4, 9).

Back

The slope is undefined because the x-values are the same (4), resulting in a vertical line.

Front

Calculate the slope between the points (2, 3) and (5, 7).

Back

The slope is \( m = \frac{7 - 3}{5 - 2} = \frac{4}{3} \).

Front

What is the slope of the line that passes through (0, 0) and (2, 4)?

Back

The slope is \( m = \frac{4 - 0}{2 - 0} = \frac{4}{2} = 2 \).

Front

Find the slope of the line that passes through (6, 1) and (2, 5).

Back

The slope is \( m = \frac{5 - 1}{2 - 6} = \frac{4}{-4} = -1 \).