Finding Slope Basics

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 positive slope indicate about the direction of a line on a graph?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about the direction of a line on a graph?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How does the steepness of a line relate to its slope?

Back

The steepness of a line is directly related to its slope; a larger absolute value of the slope indicates a steeper line.

Front

What is the slope of a line that passes through the points (2, 3) and (2, 5)?

Back

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

Front

If a line has a slope of 1, what can be said about the angle it makes with the x-axis?

Back

A slope of 1 indicates that the line makes a 45-degree angle with the x-axis.

Front

What is the relationship between slope and rate of change?

Back

Slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

How can you determine if a slope is positive, negative, or undefined from a graph?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and an undefined slope is represented by a vertical line.