Slope

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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

How do you find the slope of a line that passes through the points (2, 4) and (6, 12)?

Back

Use the formula: m = (12 - 4) / (6 - 2) = 8 / 4 = 2.

Front

What is the slope of the line that passes through the points (6, -12) and (15, -3)?

Back

The slope is calculated as m = (-3 - (-12)) / (15 - 6) = 9 / 9 = 1.

Front

If two points have the same y-coordinate, what can be said about the slope of the line connecting them?

Back

The slope is 0, indicating a horizontal line.

Front

If two points have the same x-coordinate, what can be said about the slope of the line connecting them?

Back

The slope is undefined, indicating a vertical line.

Front

What is the slope of the line that passes through the points (1, -19) and (-2, -7)?

Back

The slope is calculated as m = (-7 - (-19)) / (-2 - 1) = 12 / -3 = -4.

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 slope of zero is horizontal.

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.